45520400000 has 192 divisors, whose sum is σ = 117037509120. Its totient is φ = 17616000000.

The previous prime is 45520399999. The next prime is 45520400017. The reversal of 45520400000 is 402554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 12398165 + ... + 12401835.

It is an arithmetic number, because the mean of its divisors is an integer number (609570360).

Almost surely, 2^45520400000 is an apocalyptic number.

45520400000 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 45520400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58518754560).

45520400000 is an abundant number, since it is smaller than the sum of its proper divisors (71517109120).

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

45520400000 is an frugal number, since it uses more digits than its factorization.

45520400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 45520400000 its reverse (402554), we get a palindrome (45520802554).

The spelling of 45520400000 in words is "forty-five billion, five hundred twenty million, four hundred thousand".