4451319133680 has 80 divisors (see below), whose sum is σ = 13830522647040. Its totient is φ = 1184314493184.

The previous prime is 4451319133669. The next prime is 4451319133739. The reversal of 4451319133680 is 863319131544.

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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21018972 + ... + 21229691.

It is an arithmetic number, because the mean of its divisors is an integer number (172881533088).

Almost surely, 2^{4451319133680} is an apocalyptic number.

4451319133680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4451319133680 is an abundant number, since it is smaller than the sum of its proper divisors (9379203513360).

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

4451319133680 is a wasteful number, since it uses less digits than its factorization.

4451319133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42249118 (or 42249112 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 4451319133680 in words is "four trillion, four hundred fifty-one billion, three hundred nineteen million, one hundred thirty-three thousand, six hundred eighty".