45228422400 has 216 divisors, whose sum is σ = 170587040064. Its totient is φ = 10337894400.

The previous prime is 45228422389. The next prime is 45228422413. The reversal of 45228422400 is 422482254.

It is a super-2 number, since 2×45228422400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33861 + ... + 302660.

Almost surely, 2^45228422400 is an apocalyptic number.

45228422400 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 45228422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85293520032).

45228422400 is an abundant number, since it is smaller than the sum of its proper divisors (125358617664).

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

45228422400 is a wasteful number, since it uses less digits than its factorization.

45228422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336557 (or 336538 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The spelling of 45228422400 in words is "forty-five billion, two hundred twenty-eight million, four hundred twenty-two thousand, four hundred".