45411315120 has 240 divisors, whose sum is σ = 158675156640. Its totient is φ = 12069844992.

The previous prime is 45411315119. The next prime is 45411315137. The reversal of 45411315120 is 2151311454.

45411315120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×45411315120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6158796 + ... + 6166164.

It is an arithmetic number, because the mean of its divisors is an integer number (661146486).

Almost surely, 2^45411315120 is an apocalyptic number.

45411315120 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 45411315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79337578320).

45411315120 is an abundant number, since it is smaller than the sum of its proper divisors (113263841520).

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

45411315120 is a wasteful number, since it uses less digits than its factorization.

45411315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7714 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 45411315120 its reverse (2151311454), we get a palindrome (47562626574).

The spelling of 45411315120 in words is "forty-five billion, four hundred eleven million, three hundred fifteen thousand, one hundred twenty".