45786670440 has 256 divisors, whose sum is σ = 165716582400. Its totient is φ = 9886427136.

The previous prime is 45786670411. The next prime is 45786670441. The reversal of 45786670440 is 4407668754.

It is not an unprimeable number, because it can be changed into a prime (45786670441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5853412 + ... + 5861228.

It is an arithmetic number, because the mean of its divisors is an integer number (647330400).

Almost surely, 2^45786670440 is an apocalyptic number.

45786670440 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 45786670440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82858291200).

45786670440 is an abundant number, since it is smaller than the sum of its proper divisors (119929911960).

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

45786670440 is a wasteful number, since it uses less digits than its factorization.

45786670440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 45786670440 in words is "forty-five billion, seven hundred eighty-six million, six hundred seventy thousand, four hundred forty".