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4060040040 = 23325722310007
BaseRepresentation
bin1111000111111111…
…0100101101101000
3101110221200101220100
43301333310231220
531303332240130
61510512425400
7202416525300
oct36177645550
911427611810
104060040040
1117a38721a1
12953848260
134c91b3974
142a7302600
1518b684c60
hexf1ff4b68

4060040040 has 288 divisors, whose sum is σ = 16018404480. Its totient is φ = 887572224.

The previous prime is 4060040029. The next prime is 4060040087. The reversal of 4060040040 is 400400604.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 4060039995 and 4060040022.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 400717 + ... + 410723.

It is an arithmetic number, because the mean of its divisors is an integer number (55619460).

Almost surely, 24060040040 is an apocalyptic number.

4060040040 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 4060040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8009202240).

4060040040 is an abundant number, since it is smaller than the sum of its proper divisors (11958364440).

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

4060040040 is a wasteful number, since it uses less digits than its factorization.

4060040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10061 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4060040040 is about 63718.4434838140. The cubic root of 4060040040 is about 1595.3039439372.

Adding to 4060040040 its reverse (400400604), we get a palindrome (4460440644).

The spelling of 4060040040 in words is "four billion, sixty million, forty thousand, forty", and thus it is an eban number.