10240014312132 has 192 divisors, whose sum is σ = 27063718133760. Its totient is φ = 2986371561600.

The previous prime is 10240014312029. The next prime is 10240014312161. The reversal of 10240014312132 is 23121341004201.

It is a super-2 number, since 2×10240014312132² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 757222723 + ... + 757236245.

It is an arithmetic number, because the mean of its divisors is an integer number (140956865280).

Almost surely, 2^{10240014312132} is an apocalyptic number.

10240014312132 is a gapful number since it is divisible by the number (12) 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 10240014312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531859066880).

10240014312132 is an abundant number, since it is smaller than the sum of its proper divisors (16823703821628).

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

10240014312132 is a wasteful number, since it uses less digits than its factorization.

10240014312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15534 (or 15532 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10240014312132 its reverse (23121341004201), we get a palindrome (33361355316333).

The spelling of 10240014312132 in words is "ten trillion, two hundred forty billion, fourteen million, three hundred twelve thousand, one hundred thirty-two".