45500411103840 has 1152 divisors, whose sum is σ = 196678980126720. Its totient is φ = 9304584192000.

The previous prime is 45500411103809. The next prime is 45500411103841. The reversal of 45500411103840 is 4830111400554.

45500411103840 is a `hidden beast` number, since 4 + 5 + 500 + 4 + 1 + 1 + 103 + 8 + 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 = 45500411103795 and 45500411103804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45500411103841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1870200796 + ... + 1870225124.

It is an arithmetic number, because the mean of its divisors is an integer number (170728281360).

Almost surely, 2^{45500411103840} is an apocalyptic number.

45500411103840 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 45500411103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98339490063360).

45500411103840 is an abundant number, since it is smaller than the sum of its proper divisors (151178569022880).

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

45500411103840 is a wasteful number, since it uses less digits than its factorization.

45500411103840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24636 (or 24625 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 45500411103840 in words is "forty-five trillion, five hundred billion, four hundred eleven million, one hundred three thousand, eight hundred forty".