20100868084440 has 640 divisors, whose sum is σ = 82823687654400. Its totient is φ = 4302524666880.

The previous prime is 20100868084379. The next prime is 20100868084447. The reversal of 20100868084440 is 4448086800102.

20100868084440 is a `hidden beast` number, since 20 + 100 + 8 + 6 + 8 + 0 + 84 + 440 = 666.

It is a super-2 number, since 2×20100868084440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100868084447) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9713221 + ... + 11599499.

It is an arithmetic number, because the mean of its divisors is an integer number (129412011960).

Almost surely, 2^{20100868084440} is an apocalyptic number.

20100868084440 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 20100868084440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41411843827200).

20100868084440 is an abundant number, since it is smaller than the sum of its proper divisors (62722819569960).

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

20100868084440 is a wasteful number, since it uses less digits than its factorization.

20100868084440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886349 (or 1886336 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 20100868084440 in words is "twenty trillion, one hundred billion, eight hundred sixty-eight million, eighty-four thousand, four hundred forty".