45005414400 has 420 divisors, whose sum is σ = 166782445962. Its totient is φ = 11997020160.

The previous prime is 45005414359. The next prime is 45005414459. The reversal of 45005414400 is 441450054.

It can be written as a sum of positive squares in 3 ways, for example, as 43237380096 + 1768034304 = 207936^2 + 42048^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16587444 + ... + 16590156.

Almost surely, 2^45005414400 is an apocalyptic number.

45005414400 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 45005414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83391222981).

45005414400 is an abundant number, since it is smaller than the sum of its proper divisors (121777031562).

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

45005414400 is an equidigital number, since it uses as much as digits as its factorization.

45005414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 45005414400 its reverse (441450054), we get a palindrome (45446864454).

The spelling of 45005414400 in words is "forty-five billion, five million, four hundred fourteen thousand, four hundred".