1456601645440 has 64 divisors (see below), whose sum is σ = 3501642150000. Its totient is φ = 579385636864.

The previous prime is 1456601645423. The next prime is 1456601645479. The reversal of 1456601645440 is 445461066541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6242815 + ... + 6471934.

Almost surely, 2^{1456601645440} is an apocalyptic number.

1456601645440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456601645440 is an abundant number, since it is smaller than the sum of its proper divisors (2045040504560).

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

1456601645440 is a wasteful number, since it uses less digits than its factorization.

1456601645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12714947 (or 12714935 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 1456601645440 in words is "one trillion, four hundred fifty-six billion, six hundred one million, six hundred forty-five thousand, four hundred forty".