45885591037440 has 4800 divisors, whose sum is σ = 221972634842112. Its totient is φ = 8844723486720.

The previous prime is 45885591037409. The next prime is 45885591037511. The reversal of 45885591037440 is 4473019558854.

It is a happy number.

45885591037440 is a `hidden beast` number, since 4 + 5 + 8 + 8 + 5 + 591 + 0 + 37 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 149464465767 + ... + 149464466073.

Almost surely, 2^{45885591037440} is an apocalyptic number.

45885591037440 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 45885591037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110986317421056).

45885591037440 is an abundant number, since it is smaller than the sum of its proper divisors (176087043804672).

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

45885591037440 is a wasteful number, since it uses less digits than its factorization.

45885591037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 45885591037440 in words is "forty-five trillion, eight hundred eighty-five billion, five hundred ninety-one million, thirty-seven thousand, four hundred forty".