45130350400 has 168 divisors, whose sum is σ = 120055822880. Its totient is φ = 16639395840.

The previous prime is 45130350359. The next prime is 45130350431. The reversal of 45130350400 is 405303154.

45130350400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104739 + ... + 1144861.

Almost surely, 2^45130350400 is an apocalyptic number.

45130350400 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 45130350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60027911440).

45130350400 is an abundant number, since it is smaller than the sum of its proper divisors (74925472480).

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

45130350400 is a wasteful number, since it uses less digits than its factorization.

45130350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40201 (or 40186 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 45130350400 its reverse (405303154), we get a palindrome (45535653554).

The spelling of 45130350400 in words is "forty-five billion, one hundred thirty million, three hundred fifty thousand, four hundred".