10234407456 has 1152 divisors, whose sum is σ = 42500505600. Its totient is φ = 2329067520.

The previous prime is 10234407397. The next prime is 10234407493. The reversal of 10234407456 is 65470443201.

10234407456 is a `hidden beast` number, since 10 + 234 + 407 + 4 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10234407456.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 330142161 + ... + 330142191.

It is an arithmetic number, because the mean of its divisors is an integer number (36892800).

Almost surely, 2^10234407456 is an apocalyptic number.

10234407456 is a gapful number since it is divisible by the number (16) 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 10234407456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250252800).

10234407456 is an abundant number, since it is smaller than the sum of its proper divisors (32266098144).

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

10234407456 is a wasteful number, since it uses less digits than its factorization.

10234407456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 10234407456 in words is "ten billion, two hundred thirty-four million, four hundred seven thousand, four hundred fifty-six".