45432210400 has 72 divisors (see below), whose sum is σ = 111312328680. Its totient is φ = 18107189760.

The previous prime is 45432210389. The next prime is 45432210451. The reversal of 45432210400 is 401223454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119091 + ... + 324109.

It is an arithmetic number, because the mean of its divisors is an integer number (1546004565).

Almost surely, 2^45432210400 is an apocalyptic number.

45432210400 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 45432210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55656164340).

45432210400 is an abundant number, since it is smaller than the sum of its proper divisors (65880118280).

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

45432210400 is a wasteful number, since it uses less digits than its factorization.

45432210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205316 (or 205303 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 45432210400 its reverse (401223454), we get a palindrome (45833433854).

The spelling of 45432210400 in words is "forty-five billion, four hundred thirty-two million, two hundred ten thousand, four hundred".