10142379264 has 216 divisors, whose sum is σ = 28713065472. Its totient is φ = 3176284160.

The previous prime is 10142379257. The next prime is 10142379271. The reversal of 10142379264 is 46297324101.

It is an interprime number because it is at equal distance from previous prime (10142379257) and next prime (10142379271).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26481217 + ... + 26481599.

Almost surely, 2^10142379264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356532736).

10142379264 is an abundant number, since it is smaller than the sum of its proper divisors (18570686208).

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

10142379264 is an equidigital number, since it uses as much as digits as its factorization.

10142379264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 10142379264 in words is "ten billion, one hundred forty-two million, three hundred seventy-nine thousand, two hundred sixty-four".