45322100400 has 120 divisors (see below), whose sum is σ = 145322712144. Its totient is φ = 12074163200.

The previous prime is 45322100393. The next prime is 45322100401. The reversal of 45322100400 is 400122354.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (45322100401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1255402 + ... + 1290998.

Almost surely, 2^45322100400 is an apocalyptic number.

45322100400 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 45322100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72661356072).

45322100400 is an abundant number, since it is smaller than the sum of its proper divisors (100000611744).

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

45322100400 is a wasteful number, since it uses less digits than its factorization.

45322100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36679 (or 36668 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 45322100400 its reverse (400122354), we get a palindrome (45722222754).

The spelling of 45322100400 in words is "forty-five billion, three hundred twenty-two million, one hundred thousand, four hundred".