45416090240640 has 1024 divisors, whose sum is σ = 184735088640000. Its totient is φ = 10329689161728.

The previous prime is 45416090240603. The next prime is 45416090240693. The reversal of 45416090240640 is 4604209061454.

45416090240640 is a `hidden beast` number, since 4 + 541 + 6 + 0 + 9 + 0 + 2 + 40 + 64 + 0 = 666.

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

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, 26731070511 + ... + 26731072209.

It is an arithmetic number, because the mean of its divisors is an integer number (180405360000).

Almost surely, 2^{45416090240640} is an apocalyptic number.

45416090240640 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 45416090240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92367544320000).

45416090240640 is an abundant number, since it is smaller than the sum of its proper divisors (139318998399360).

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

45416090240640 is a wasteful number, since it uses less digits than its factorization.

45416090240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45416090240640 in words is "forty-five trillion, four hundred sixteen billion, ninety million, two hundred forty thousand, six hundred forty".