45879229440 has 880 divisors, whose sum is σ = 182971340640. Its totient is φ = 10899947520.

The previous prime is 45879229427. The next prime is 45879229441. The reversal of 45879229440 is 4492297854.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45879229441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 406010824 + ... + 406010936.

It is an arithmetic number, because the mean of its divisors is an integer number (207921978).

Almost surely, 2^45879229440 is an apocalyptic number.

45879229440 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 45879229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91485670320).

45879229440 is an abundant number, since it is smaller than the sum of its proper divisors (137092111200).

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

45879229440 is a wasteful number, since it uses less digits than its factorization.

45879229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 45879229440 in words is "forty-five billion, eight hundred seventy-nine million, two hundred twenty-nine thousand, four hundred forty".