10139281464000 has 224 divisors, whose sum is σ = 36055285995456. Its totient is φ = 2495823052800.

The previous prime is 10139281463999. The next prime is 10139281464001. The reversal of 10139281464000 is 46418293101.

It is an interprime number because it is at equal distance from previous prime (10139281463999) and next prime (10139281464001).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10139281464000.

It is not an unprimeable number, because it can be changed into a prime (10139281464001) 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, 15936849 + ... + 16560848.

It is an arithmetic number, because the mean of its divisors is an integer number (160961098194).

Almost surely, 2^{10139281464000} is an apocalyptic number.

10139281464000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10139281464000 is an abundant number, since it is smaller than the sum of its proper divisors (25916004531456).

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

10139281464000 is a wasteful number, since it uses less digits than its factorization.

10139281464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32497740 (or 32497720 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 10139281464000 in words is "ten trillion, one hundred thirty-nine billion, two hundred eighty-one million, four hundred sixty-four thousand".