45641470400 has 84 divisors (see below), whose sum is σ = 112351428840. Its totient is φ = 18249292800.

The previous prime is 45641470351. The next prime is 45641470421. The reversal of 45641470400 is 407414654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5930555 + ... + 5938245.

It is an arithmetic number, because the mean of its divisors is an integer number (1337517010).

Almost surely, 2^45641470400 is an apocalyptic number.

45641470400 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 45641470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56175714420).

45641470400 is an abundant number, since it is smaller than the sum of its proper divisors (66709958440).

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

45641470400 is a wasteful number, since it uses less digits than its factorization.

45641470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422 (or 11407 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 45641470400 in words is "forty-five billion, six hundred forty-one million, four hundred seventy thousand, four hundred".