45941409360 has 640 divisors, whose sum is σ = 198193029120. Its totient is φ = 9502617600.

The previous prime is 45941409329. The next prime is 45941409361. The reversal of 45941409360 is 6390414954.

It is a super-2 number, since 2×45941409360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45941409361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46735429 + ... + 46736411.

It is an arithmetic number, because the mean of its divisors is an integer number (309676608).

Almost surely, 2^45941409360 is an apocalyptic number.

45941409360 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 45941409360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99096514560).

45941409360 is an abundant number, since it is smaller than the sum of its proper divisors (152251619760).

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

45941409360 is a wasteful number, since it uses less digits than its factorization.

45941409360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 45941409360 in words is "forty-five billion, nine hundred forty-one million, four hundred nine thousand, three hundred sixty".