45720383702400 has 288 divisors, whose sum is σ = 177971790292920. Its totient is φ = 11083729305600.

The previous prime is 45720383702377. The next prime is 45720383702419. The reversal of 45720383702400 is 420738302754.

45720383702400 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 0 + 38 + 370 + 240 + 0 = 666.

45720383702400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71842897 + ... + 72476496.

Almost surely, 2^{45720383702400} is an apocalyptic number.

45720383702400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45720383702400 is an abundant number, since it is smaller than the sum of its proper divisors (132251406590520).

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

45720383702400 is a wasteful number, since it uses less digits than its factorization.

45720383702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144319434 (or 144319414 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 45720383702400 in words is "forty-five trillion, seven hundred twenty billion, three hundred eighty-three million, seven hundred two thousand, four hundred".