45741955200 has 384 divisors, whose sum is σ = 159524164800. Its totient is φ = 11500339200.

The previous prime is 45741955169. The next prime is 45741955201. The reversal of 45741955200 is 255914754.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45741955201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11969290 + ... + 11973110.

Almost surely, 2^45741955200 is an apocalyptic number.

45741955200 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 45741955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79762082400).

45741955200 is an abundant number, since it is smaller than the sum of its proper divisors (113782209600).

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

45741955200 is a wasteful number, since it uses less digits than its factorization.

45741955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 45741955200 in words is "forty-five billion, seven hundred forty-one million, nine hundred fifty-five thousand, two hundred".