10402531412000 has 384 divisors, whose sum is σ = 31745974740480. Its totient is φ = 3262013337600.

The previous prime is 10402531411999. The next prime is 10402531412017. The reversal of 10402531412000 is 21413520401.

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, 39544907 + ... + 39807093.

It is an arithmetic number, because the mean of its divisors is an integer number (82671809220).

Almost surely, 2^{10402531412000} is an apocalyptic number.

10402531412000 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 10402531412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872987370240).

10402531412000 is an abundant number, since it is smaller than the sum of its proper divisors (21343443328480).

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

10402531412000 is a wasteful number, since it uses less digits than its factorization.

10402531412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262341 (or 262323 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 10402531412000 its reverse (21413520401), we get a palindrome (10423944932401).

The spelling of 10402531412000 in words is "ten trillion, four hundred two billion, five hundred thirty-one million, four hundred twelve thousand".