45020400000 has 192 divisors, whose sum is σ = 149476214160. Its totient is φ = 12005120000.

The previous prime is 45020399971. The next prime is 45020400013. The reversal of 45020400000 is 402054.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 1181242 + ... + 1218758.

Almost surely, 2^45020400000 is an apocalyptic number.

45020400000 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 45020400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74738107080).

45020400000 is an abundant number, since it is smaller than the sum of its proper divisors (104455814160).

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

45020400000 is an frugal number, since it uses more digits than its factorization.

45020400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37559 (or 37527 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 45020400000 its reverse (402054), we get a palindrome (45020802054).

The spelling of 45020400000 in words is "forty-five billion, twenty million, four hundred thousand".