15415501440 has 256 divisors, whose sum is σ = 51967319040. Its totient is φ = 3880550400.

The previous prime is 15415501421. The next prime is 15415501441. The reversal of 15415501440 is 4410551451.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15415501398 and 15415501407.

It is not an unprimeable number, because it can be changed into a prime (15415501441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2437162 + ... + 2443478.

It is an arithmetic number, because the mean of its divisors is an integer number (202997340).

Almost surely, 2^15415501440 is an apocalyptic number.

15415501440 is a gapful number since it is divisible by the number (10) 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 15415501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25983659520).

15415501440 is an abundant number, since it is smaller than the sum of its proper divisors (36551817600).

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

15415501440 is a wasteful number, since it uses less digits than its factorization.

15415501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 15415501440 in words is "fifteen billion, four hundred fifteen million, five hundred one thousand, four hundred forty".