10144525640 has 32 divisors (see below), whose sum is σ = 22859773560. Its totient is φ = 4051660800.

The previous prime is 10144525609. The next prime is 10144525673. The reversal of 10144525640 is 4652544101.

It can be written as a sum of positive squares in 4 ways, for example, as 10140892804 + 3632836 = 100702^2 + 1906^2 .

It is a super-2 number, since 2×10144525640² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10144525597 and 10144525606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165401 + ... + 218280.

Almost surely, 2^10144525640 is an apocalyptic number.

10144525640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144525640 is an abundant number, since it is smaller than the sum of its proper divisors (12715247920).

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

10144525640 is a wasteful number, since it uses less digits than its factorization.

10144525640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384353 (or 384349 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 10144525640 in words is "ten billion, one hundred forty-four million, five hundred twenty-five thousand, six hundred forty".