45378502400 has 216 divisors, whose sum is σ = 140035453824. Its totient is φ = 14143795200.

The previous prime is 45378502363. The next prime is 45378502423. The reversal of 45378502400 is 420587354.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 446759 + ... + 538841.

Almost surely, 2^45378502400 is an apocalyptic number.

45378502400 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 45378502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70017726912).

45378502400 is an abundant number, since it is smaller than the sum of its proper divisors (94656951424).

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

45378502400 is a wasteful number, since it uses less digits than its factorization.

45378502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92127 (or 92108 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The spelling of 45378502400 in words is "forty-five billion, three hundred seventy-eight million, five hundred two thousand, four hundred".