45480714240 has 448 divisors, whose sum is σ = 159327689472. Its totient is φ = 11010048000.

The previous prime is 45480714133. The next prime is 45480714263. The reversal of 45480714240 is 4241708454.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 113418040 + ... + 113418440.

It is an arithmetic number, because the mean of its divisors is an integer number (355642164).

Almost surely, 2^45480714240 is an apocalyptic number.

45480714240 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 45480714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79663844736).

45480714240 is an abundant number, since it is smaller than the sum of its proper divisors (113846975232).

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

45480714240 is a wasteful number, since it uses less digits than its factorization.

45480714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 39.

The spelling of 45480714240 in words is "forty-five billion, four hundred eighty million, seven hundred fourteen thousand, two hundred forty".