45410484936960 has 1152 divisors, whose sum is σ = 190301115916800. Its totient is φ = 10108922757120.

The previous prime is 45410484936919. The next prime is 45410484936979. The reversal of 45410484936960 is 6963948401454.

It is a happy number.

45410484936960 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 0 + 484 + 93 + 6 + 9 + 60 = 666.

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

It is a super-2 number, since 2×45410484936960² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 953797636 + ... + 953845244.

It is an arithmetic number, because the mean of its divisors is an integer number (165191940900).

Almost surely, 2^{45410484936960} is an apocalyptic number.

45410484936960 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 45410484936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95150557958400).

45410484936960 is an abundant number, since it is smaller than the sum of its proper divisors (144890630979840).

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

45410484936960 is a wasteful number, since it uses less digits than its factorization.

45410484936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47856 (or 47836 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 45410484936960 in words is "forty-five trillion, four hundred ten billion, four hundred eighty-four million, nine hundred thirty-six thousand, nine hundred sixty".