10434979632 has 120 divisors (see below), whose sum is σ = 34209006912. Its totient is φ = 2710377600.

The previous prime is 10434979619. The next prime is 10434979637. The reversal of 10434979632 is 23697943401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10434979637) 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, 175794 + ... + 227537.

Almost surely, 2^10434979632 is an apocalyptic number.

10434979632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10434979632 is an abundant number, since it is smaller than the sum of its proper divisors (23774027280).

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

10434979632 is a wasteful number, since it uses less digits than its factorization.

10434979632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403367 (or 403354 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 10434979632 in words is "ten billion, four hundred thirty-four million, nine hundred seventy-nine thousand, six hundred thirty-two".