15314534040 has 256 divisors, whose sum is σ = 50311134720. Its totient is φ = 3706859520.

The previous prime is 15314534029. The next prime is 15314534077. The reversal of 15314534040 is 4043541351.

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 = 15314533989 and 15314534007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27997047 + ... + 27997593.

It is an arithmetic number, because the mean of its divisors is an integer number (196527870).

Almost surely, 2^15314534040 is an apocalyptic number.

15314534040 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 15314534040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25155567360).

15314534040 is an abundant number, since it is smaller than the sum of its proper divisors (34996600680).

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

15314534040 is a wasteful number, since it uses less digits than its factorization.

15314534040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 15314534040 in words is "fifteen billion, three hundred fourteen million, five hundred thirty-four thousand, forty".