45403937280 has 960 divisors, whose sum is σ = 184913977248. Its totient is φ = 10192158720.

The previous prime is 45403937279. The next prime is 45403937291. The reversal of 45403937280 is 8273930454.

45403937280 is a `hidden beast` number, since 4 + 540 + 39 + 3 + 72 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 15924420864 + 29479516416 = 126192^2 + 171696^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188397960 + ... + 188398200.

Almost surely, 2^45403937280 is an apocalyptic number.

45403937280 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 45403937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92456988624).

45403937280 is an abundant number, since it is smaller than the sum of its proper divisors (139510039968).

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

45403937280 is a wasteful number, since it uses less digits than its factorization.

45403937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 45403937280 in words is "forty-five billion, four hundred three million, nine hundred thirty-seven thousand, two hundred eighty".