45500432400 has 240 divisors, whose sum is σ = 170472174400. Its totient is φ = 11494794240.

The previous prime is 45500432389. The next prime is 45500432401. The reversal of 45500432400 is 423400554.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45500432401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94332 + ... + 316068.

Almost surely, 2^45500432400 is an apocalyptic number.

45500432400 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 45500432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85236087200).

45500432400 is an abundant number, since it is smaller than the sum of its proper divisors (124971742000).

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

45500432400 is a wasteful number, since it uses less digits than its factorization.

45500432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221783 (or 221766 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 45500432400 its reverse (423400554), we get a palindrome (45923832954).

The spelling of 45500432400 in words is "forty-five billion, five hundred million, four hundred thirty-two thousand, four hundred".