45441935280 has 640 divisors, whose sum is σ = 187538472960. Its totient is φ = 9894804480.

The previous prime is 45441935267. The next prime is 45441935321. The reversal of 45441935280 is 8253914454.

45441935280 is a `hidden beast` number, since 45 + 441 + 93 + 5 + 2 + 80 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31403517 + ... + 31404963.

It is an arithmetic number, because the mean of its divisors is an integer number (293028864).

Almost surely, 2^45441935280 is an apocalyptic number.

45441935280 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 45441935280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93769236480).

45441935280 is an abundant number, since it is smaller than the sum of its proper divisors (142096537680).

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

45441935280 is a wasteful number, since it uses less digits than its factorization.

45441935280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 45441935280 in words is "forty-five billion, four hundred forty-one million, nine hundred thirty-five thousand, two hundred eighty".