45749975040 has 1152 divisors, whose sum is σ = 207048441600. Its totient is φ = 9475522560.

The previous prime is 45749975021. The next prime is 45749975059. The reversal of 45749975040 is 4057994754.

45749975040 is a `hidden beast` number, since 4 + 5 + 7 + 49 + 97 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45749975021) and next prime (45749975059).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149022567 + ... + 149022873.

It is an arithmetic number, because the mean of its divisors is an integer number (179729550).

Almost surely, 2^45749975040 is an apocalyptic number.

45749975040 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 45749975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103524220800).

45749975040 is an abundant number, since it is smaller than the sum of its proper divisors (161298466560).

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

45749975040 is a wasteful number, since it uses less digits than its factorization.

45749975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 45749975040 in words is "forty-five billion, seven hundred forty-nine million, nine hundred seventy-five thousand, forty".