21116314044540 has 288 divisors, whose sum is σ = 75367954561536. Its totient is φ = 4717976440320.

The previous prime is 21116314044503. The next prime is 21116314044587. The reversal of 21116314044540 is 4544041361112.

21116314044540 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 6 + 31 + 40 + 44 + 540 = 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 = 21116314044495 and 21116314044504.

It is a congruent number.

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, 15912897 + ... + 17188743.

It is an arithmetic number, because the mean of its divisors is an integer number (261694286672).

Almost surely, 2^{21116314044540} is an apocalyptic number.

21116314044540 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 21116314044540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37683977280768).

21116314044540 is an abundant number, since it is smaller than the sum of its proper divisors (54251640516996).

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

21116314044540 is a wasteful number, since it uses less digits than its factorization.

21116314044540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276529 (or 1276524 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21116314044540 in words is "twenty-one trillion, one hundred sixteen billion, three hundred fourteen million, forty-four thousand, five hundred forty".