45820262400 has 576 divisors, whose sum is σ = 169054179840. Its totient is φ = 10852761600.

The previous prime is 45820262387. The next prime is 45820262417. The reversal of 45820262400 is 426202854.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79410912 + ... + 79411488.

It is an arithmetic number, because the mean of its divisors is an integer number (293496840).

Almost surely, 2^45820262400 is an apocalyptic number.

45820262400 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 45820262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84527089920).

45820262400 is an abundant number, since it is smaller than the sum of its proper divisors (123233917440).

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

45820262400 is a wasteful number, since it uses less digits than its factorization.

45820262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 45820262400 in words is "forty-five billion, eight hundred twenty million, two hundred sixty-two thousand, four hundred".