10460125216044 has 288 divisors, whose sum is σ = 31004191196160. Its totient is φ = 2912183414784.

The previous prime is 10460125216031. The next prime is 10460125216061. The reversal of 10460125216044 is 44061252106401.

10460125216044 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 0 + 1 + 25 + 21 + 604 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407678064 + ... + 407703720.

Almost surely, 2^{10460125216044} is an apocalyptic number.

10460125216044 is a gapful number since it is divisible by the number (14) 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 10460125216044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502095598080).

10460125216044 is an abundant number, since it is smaller than the sum of its proper divisors (20544065980116).

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

10460125216044 is a wasteful number, since it uses less digits than its factorization.

10460125216044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26029 (or 26024 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10460125216044 in words is "ten trillion, four hundred sixty billion, one hundred twenty-five million, two hundred sixteen thousand, forty-four".