45021795840 has 960 divisors, whose sum is σ = 189462873600. Its totient is φ = 10241925120.

The previous prime is 45021795799. The next prime is 45021795869. The reversal of 45021795840 is 4859712054.

45021795840 is a `hidden beast` number, since 4 + 50 + 2 + 17 + 9 + 584 + 0 = 666.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213373335 + ... + 213373545.

It is an arithmetic number, because the mean of its divisors is an integer number (197357160).

Almost surely, 2^45021795840 is an apocalyptic number.

45021795840 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 45021795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94731436800).

45021795840 is an abundant number, since it is smaller than the sum of its proper divisors (144441077760).

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

45021795840 is an frugal number, since it uses more digits than its factorization.

45021795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 45021795840 in words is "forty-five billion, twenty-one million, seven hundred ninety-five thousand, eight hundred forty".