10165424640 has 320 divisors, whose sum is σ = 37388964096. Its totient is φ = 2307981312.

The previous prime is 10165424639. The next prime is 10165424641. The reversal of 10165424640 is 4642456101.

It is an interprime number because it is at equal distance from previous prime (10165424639) and next prime (10165424641).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10165424640² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10165424641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9299934 + ... + 9301026.

Almost surely, 2^10165424640 is an apocalyptic number.

10165424640 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 10165424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694482048).

10165424640 is an abundant number, since it is smaller than the sum of its proper divisors (27223539456).

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

10165424640 is a wasteful number, since it uses less digits than its factorization.

10165424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 10165424640 in words is "ten billion, one hundred sixty-five million, four hundred twenty-four thousand, six hundred forty".