45629438400 has 1680 divisors, whose sum is σ = 213203479104. Its totient is φ = 9316270080.

The previous prime is 45629438389. The next prime is 45629438443. The reversal of 45629438400 is 483492654.

45629438400 is a `hidden beast` number, since 4 + 562 + 9 + 4 + 3 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 625060764 + ... + 625060836.

Almost surely, 2^45629438400 is an apocalyptic number.

45629438400 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 45629438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106601739552).

45629438400 is an abundant number, since it is smaller than the sum of its proper divisors (167574040704).

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

45629438400 is a wasteful number, since it uses less digits than its factorization.

45629438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45629438400 in words is "forty-five billion, six hundred twenty-nine million, four hundred thirty-eight thousand, four hundred".