45975078240 has 768 divisors, whose sum is σ = 193783726080. Its totient is φ = 8888279040.

The previous prime is 45975078229. The next prime is 45975078251. The reversal of 45975078240 is 4287057954.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45975078229) and next prime (45975078251).

It is a super-2 number, since 2×45975078240² (a number of 22 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 25726627 + ... + 25728413.

It is an arithmetic number, because the mean of its divisors is an integer number (252322560).

Almost surely, 2^45975078240 is an apocalyptic number.

45975078240 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 45975078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96891863040).

45975078240 is an abundant number, since it is smaller than the sum of its proper divisors (147808647840).

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

45975078240 is a wasteful number, since it uses less digits than its factorization.

45975078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 45975078240 in words is "forty-five billion, nine hundred seventy-five million, seventy-eight thousand, two hundred forty".