45302426400 has 576 divisors, whose sum is σ = 188153957376. Its totient is φ = 9192960000.

The previous prime is 45302426381. The next prime is 45302426401. The reversal of 45302426400 is 462420354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45302426401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7943550 + ... + 7949250.

It is an arithmetic number, because the mean of its divisors is an integer number (326656176).

Almost surely, 2^45302426400 is an apocalyptic number.

45302426400 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 45302426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94076978688).

45302426400 is an abundant number, since it is smaller than the sum of its proper divisors (142851530976).

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

45302426400 is a wasteful number, since it uses less digits than its factorization.

45302426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 45302426400 its reverse (462420354), we get a palindrome (45764846754).

The spelling of 45302426400 in words is "forty-five billion, three hundred two million, four hundred twenty-six thousand, four hundred".