45926240640 has 256 divisors, whose sum is σ = 176109120000. Its totient is φ = 9944875008.

The previous prime is 45926240629. The next prime is 45926240719. The reversal of 45926240640 is 4604262954.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 45926240592 and 45926240601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165436 + ... + 345284.

It is an arithmetic number, because the mean of its divisors is an integer number (687926250).

Almost surely, 2^45926240640 is an apocalyptic number.

45926240640 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 45926240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88054560000).

45926240640 is an abundant number, since it is smaller than the sum of its proper divisors (130182879360).

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

45926240640 is a wasteful number, since it uses less digits than its factorization.

45926240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179897 (or 179885 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 45926240640 in words is "forty-five billion, nine hundred twenty-six million, two hundred forty thousand, six hundred forty".