456378261440 has 56 divisors (see below), whose sum is σ = 1086809370192. Its totient is φ = 182541455360.

The previous prime is 456378261419. The next prime is 456378261491. The reversal of 456378261440 is 44162873654.

It is a super-2 number, since 2×456378261440² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9935807 + ... + 9981633.

It is an arithmetic number, because the mean of its divisors is an integer number (19407310182).

Almost surely, 2^456378261440 is an apocalyptic number.

456378261440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456378261440 is an abundant number, since it is smaller than the sum of its proper divisors (630431108752).

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

456378261440 is a wasteful number, since it uses less digits than its factorization.

456378261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76965 (or 76955 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 456378261440 in words is "four hundred fifty-six billion, three hundred seventy-eight million, two hundred sixty-one thousand, four hundred forty".