45174911040 has 840 divisors, whose sum is σ = 186457864320. Its totient is φ = 10033293312.

The previous prime is 45174911027. The next prime is 45174911051. The reversal of 45174911040 is 4011947154.

45174911040 is a `hidden beast` number, since 4 + 517 + 4 + 91 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a junction number, because it is equal to n+sod(n) for n = 45174910986 and 45174911004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 324999291 + ... + 324999429.

It is an arithmetic number, because the mean of its divisors is an integer number (221973648).

Almost surely, 2^45174911040 is an apocalyptic number.

45174911040 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 45174911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93228932160).

45174911040 is an abundant number, since it is smaller than the sum of its proper divisors (141282953280).

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

45174911040 is a wasteful number, since it uses less digits than its factorization.

45174911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 45174911040 in words is "forty-five billion, one hundred seventy-four million, nine hundred eleven thousand, forty".