457022282734640 has 80 divisors (see below), whose sum is σ = 1214465102472960. Its totient is φ = 156681533648640.

The previous prime is 457022282734637. The next prime is 457022282734649. The reversal of 457022282734640 is 46437282220754.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (457022282734649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23350706 + ... + 38200785.

It is an arithmetic number, because the mean of its divisors is an integer number (15180813780912).

Almost surely, 2^{457022282734640} is an apocalyptic number.

457022282734640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457022282734640 is an abundant number, since it is smaller than the sum of its proper divisors (757442819738320).

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

457022282734640 is a wasteful number, since it uses less digits than its factorization.

457022282734640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61564770 (or 61564764 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 56.

The spelling of 457022282734640 in words is "four hundred fifty-seven trillion, twenty-two billion, two hundred eighty-two million, seven hundred thirty-four thousand, six hundred forty".