45760199940 has 576 divisors, whose sum is σ = 179006091264. Its totient is φ = 9554775552.

The previous prime is 45760199879. The next prime is 45760199959. The reversal of 45760199940 is 4999106754.

It is a happy number.

45760199940 is a `hidden beast` number, since 457 + 60 + 1 + 9 + 99 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47321337 + ... + 47322303.

It is an arithmetic number, because the mean of its divisors is an integer number (310774464).

Almost surely, 2^45760199940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45760199940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89503045632).

45760199940 is an abundant number, since it is smaller than the sum of its proper divisors (133245891324).

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

45760199940 is a wasteful number, since it uses less digits than its factorization.

45760199940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 45760199940 in words is "forty-five billion, seven hundred sixty million, one hundred ninety-nine thousand, nine hundred forty".