45740570400 has 432 divisors, whose sum is σ = 191167389504. Its totient is φ = 10454676480.

The previous prime is 45740570399. The next prime is 45740570423. The reversal of 45740570400 is 407504754.

45740570400 is a `hidden beast` number, since 4 + 5 + 7 + 40 + 570 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1343994 + ... + 1377606.

Almost surely, 2^45740570400 is an apocalyptic number.

45740570400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45740570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95583694752).

45740570400 is an abundant number, since it is smaller than the sum of its proper divisors (145426819104).

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

45740570400 is a wasteful number, since it uses less digits than its factorization.

45740570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33655 (or 33630 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 45740570400 in words is "forty-five billion, seven hundred forty million, five hundred seventy thousand, four hundred".