456261120000 has 2080 divisors, whose sum is σ = 2063471477760. Its totient is φ = 97320960000.

The previous prime is 456261119989. The next prime is 456261120013. The reversal of 456261120000 is 21162654.

456261120000 is a `hidden beast` number, since 4 + 5 + 626 + 11 + 20 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11128319980 + ... + 11128320020.

Almost surely, 2^456261120000 is an apocalyptic number.

456261120000 is a gapful number since it is divisible by the number (40) 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 456261120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031735738880).

456261120000 is an abundant number, since it is smaller than the sum of its proper divisors (1607210357760).

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

456261120000 is an equidigital number, since it uses as much as digits as its factorization.

456261120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 456261120000 its reverse (21162654), we get a palindrome (456282282654).

The spelling of 456261120000 in words is "four hundred fifty-six billion, two hundred sixty-one million, one hundred twenty thousand".