10129464920 has 64 divisors (see below), whose sum is σ = 23676287040. Its totient is φ = 3897241600.

The previous prime is 10129464883. The next prime is 10129464929. The reversal of 10129464920 is 2946492101.

It is a super-4 number, since 4×10129464920⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129464929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72944 + ... + 159936.

It is an arithmetic number, because the mean of its divisors is an integer number (369941985).

Almost surely, 2^10129464920 is an apocalyptic number.

10129464920 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 10129464920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11838143520).

10129464920 is an abundant number, since it is smaller than the sum of its proper divisors (13546822120).

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

10129464920 is a wasteful number, since it uses less digits than its factorization.

10129464920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87116 (or 87112 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 10129464920 in words is "ten billion, one hundred twenty-nine million, four hundred sixty-four thousand, nine hundred twenty".