4380647040 has 1152 divisors, whose sum is σ = 20570397120. Its totient is φ = 846397440.

The previous prime is 4380647003. The next prime is 4380647041. The reversal of 4380647040 is 407460834.

4380647040 is a `hidden beast` number, since 4 + 3 + 8 + 0 + 647 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 4380646986 and 4380647004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4380647041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52778839 + ... + 52778921.

Almost surely, 2^4380647040 is an apocalyptic number.

4380647040 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 4380647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285198560).

4380647040 is an abundant number, since it is smaller than the sum of its proper divisors (16189750080).

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

4380647040 is a wasteful number, since it uses less digits than its factorization.

4380647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4380647040 is about 66186.4566206713. The cubic root of 4380647040 is about 1636.2365417788.

The spelling of 4380647040 in words is "four billion, three hundred eighty million, six hundred forty-seven thousand, forty".