45222876400 has 240 divisors, whose sum is σ = 126779948064. Its totient is φ = 15348695040.

The previous prime is 45222876397. The next prime is 45222876403. The reversal of 45222876400 is 467822254.

It is an interprime number because it is at equal distance from previous prime (45222876397) and next prime (45222876403).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45222876403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3795252 + ... + 3807148.

Almost surely, 2^45222876400 is an apocalyptic number.

45222876400 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 45222876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63389974032).

45222876400 is an abundant number, since it is smaller than the sum of its proper divisors (81557071664).

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

45222876400 is a wasteful number, since it uses less digits than its factorization.

45222876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 45222876400 in words is "forty-five billion, two hundred twenty-two million, eight hundred seventy-six thousand, four hundred".