45437986440 has 384 divisors, whose sum is σ = 186713579520. Its totient is φ = 9308275200.

The previous prime is 45437986381. The next prime is 45437986481. The reversal of 45437986440 is 4468973454.

45437986440 is a `hidden beast` number, since 4 + 54 + 3 + 79 + 86 + 440 = 666.

It is a super-2 number, since 2×45437986440² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1956577 + ... + 1979663.

It is an arithmetic number, because the mean of its divisors is an integer number (486233280).

Almost surely, 2^45437986440 is an apocalyptic number.

45437986440 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 45437986440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93356789760).

45437986440 is an abundant number, since it is smaller than the sum of its proper divisors (141275593080).

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

45437986440 is a wasteful number, since it uses less digits than its factorization.

45437986440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23193 (or 23186 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 45437986440 in words is "forty-five billion, four hundred thirty-seven million, nine hundred eighty-six thousand, four hundred forty".