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4380791040 = 28345293147
BaseRepresentation
bin1000001010001110…
…11001000100000000
3102022022020020120000
410011013121010000
532432440303130
62002411320000
7213363052353
oct40507310400
912268206500
104380791040
11194892a16a
12a23150000
1354a798962
142d7b5829a
151a98e2260
hex1051d9100

4380791040 has 720 divisors, whose sum is σ = 17095034880. Its totient is φ = 1068318720.

The previous prime is 4380790969. The next prime is 4380791057. The reversal of 4380791040 is 401970834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×43807910402 = 38382660272288563200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4380790986 and 4380791004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93208297 + ... + 93208343.

It is an arithmetic number, because the mean of its divisors is an integer number (23743104).

Almost surely, 24380791040 is an apocalyptic number.

4380791040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4380791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547517440).

4380791040 is an abundant number, since it is smaller than the sum of its proper divisors (12714243840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4380791040 is a wasteful number, since it uses less digits than its factorization.

4380791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4380791040 is about 66187.5444475771. The cubic root of 4380791040 is about 1636.2544702932.

The spelling of 4380791040 in words is "four billion, three hundred eighty million, seven hundred ninety-one thousand, forty".