15434256640 has 216 divisors, whose sum is σ = 40908288960. Its totient is φ = 5575004160.

The previous prime is 15434256631. The next prime is 15434256641. The reversal of 15434256640 is 4665243451.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 15434256593 and 15434256602.

It is not an unprimeable number, because it can be changed into a prime (15434256641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35157541 + ... + 35157979.

Almost surely, 2^15434256640 is an apocalyptic number.

15434256640 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 15434256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20454144480).

15434256640 is an abundant number, since it is smaller than the sum of its proper divisors (25474032320).

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

15434256640 is a wasteful number, since it uses less digits than its factorization.

15434256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 15434256640 in words is "fifteen billion, four hundred thirty-four million, two hundred fifty-six thousand, six hundred forty".