20116160374440 has 384 divisors, whose sum is σ = 67144704157440. Its totient is φ = 4815631761408.

The previous prime is 20116160374423. The next prime is 20116160374451. The reversal of 20116160374440 is 4447306161102.

It is a super-4 number, since 4×20116160374440⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2125765149 + ... + 2125774611.

It is an arithmetic number, because the mean of its divisors is an integer number (174856000410).

Almost surely, 2^{20116160374440} is an apocalyptic number.

20116160374440 is a gapful number since it is divisible by the number (20) 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 20116160374440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33572352078720).

20116160374440 is an abundant number, since it is smaller than the sum of its proper divisors (47028543783000).

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

20116160374440 is a wasteful number, since it uses less digits than its factorization.

20116160374440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12373 (or 12356 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 20116160374440 in words is "twenty trillion, one hundred sixteen billion, one hundred sixty million, three hundred seventy-four thousand, four hundred forty".