10432634725240 has 1024 divisors, whose sum is σ = 31213486080000. Its totient is φ = 3114398730240.

The previous prime is 10432634725229. The next prime is 10432634725307. The reversal of 10432634725240 is 4252743623401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 58282875471 + ... + 58282875649.

It is an arithmetic number, because the mean of its divisors is an integer number (30481920000).

Almost surely, 2^{10432634725240} is an apocalyptic number.

10432634725240 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 10432634725240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15606743040000).

10432634725240 is an abundant number, since it is smaller than the sum of its proper divisors (20780851354760).

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

10432634725240 is a wasteful number, since it uses less digits than its factorization.

10432634725240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 43.

The spelling of 10432634725240 in words is "ten trillion, four hundred thirty-two billion, six hundred thirty-four million, seven hundred twenty-five thousand, two hundred forty".