45833500440 has 576 divisors, whose sum is σ = 187553620800. Its totient is φ = 9621448704.

The previous prime is 45833500429. The next prime is 45833500459. The reversal of 45833500440 is 4400533854.

45833500440 is a `hidden beast` number, since 4 + 583 + 35 + 0 + 0 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45833500395 and 45833500404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61686709 + ... + 61687451.

It is an arithmetic number, because the mean of its divisors is an integer number (325613925).

Almost surely, 2^45833500440 is an apocalyptic number.

45833500440 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 45833500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93776810400).

45833500440 is an abundant number, since it is smaller than the sum of its proper divisors (141720120360).

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

45833500440 is a wasteful number, since it uses less digits than its factorization.

45833500440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 45833500440 in words is "forty-five billion, eight hundred thirty-three million, five hundred thousand, four hundred forty".