45312116040 has 320 divisors, whose sum is σ = 159058468800. Its totient is φ = 11554970112.

The previous prime is 45312116029. The next prime is 45312116041. The reversal of 45312116040 is 4061121354.

It is a happy number.

45312116040 is a `hidden beast` number, since 4 + 5 + 31 + 21 + 1 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45312115995 and 45312116013.

It is not an unprimeable number, because it can be changed into a prime (45312116041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10051467 + ... + 10055973.

It is an arithmetic number, because the mean of its divisors is an integer number (497057715).

Almost surely, 2^45312116040 is an apocalyptic number.

45312116040 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 45312116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79529234400).

45312116040 is an abundant number, since it is smaller than the sum of its proper divisors (113746352760).

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

45312116040 is a wasteful number, since it uses less digits than its factorization.

45312116040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 45312116040 its reverse (4061121354), we get a palindrome (49373237394).

The spelling of 45312116040 in words is "forty-five billion, three hundred twelve million, one hundred sixteen thousand, forty".