10456214307520 has 112 divisors (see below), whose sum is σ = 24950194334208. Its totient is φ = 4173867371520.

The previous prime is 10456214307491. The next prime is 10456214307521. The reversal of 10456214307520 is 2570341265401.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10456214307521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775274217 + ... + 775287703.

Almost surely, 2^{10456214307520} is an apocalyptic number.

10456214307520 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 10456214307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475097167104).

10456214307520 is an abundant number, since it is smaller than the sum of its proper divisors (14493980026688).

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

10456214307520 is a wasteful number, since it uses less digits than its factorization.

10456214307520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18318 (or 18308 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 10456214307520 in words is "ten trillion, four hundred fifty-six billion, two hundred fourteen million, three hundred seven thousand, five hundred twenty".