101919800926440 has 768 divisors, whose sum is σ = 418473409536000. Its totient is φ = 21790464583680.

The previous prime is 101919800926439. The next prime is 101919800926553. The reversal of 101919800926440 is 44629008919101.

101919800926440 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 198 + 0 + 0 + 9 + 2 + 6 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101629060 + ... + 102627020.

It is an arithmetic number, because the mean of its divisors is an integer number (544887252000).

Almost surely, 2^{101919800926440} is an apocalyptic number.

101919800926440 is a gapful number since it is divisible by the number (10) 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 101919800926440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209236704768000).

101919800926440 is an abundant number, since it is smaller than the sum of its proper divisors (316553608609560).

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

101919800926440 is a wasteful number, since it uses less digits than its factorization.

101919800926440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998092 (or 998076 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 101919800926440 in words is "one hundred one trillion, nine hundred nineteen billion, eight hundred million, nine hundred twenty-six thousand, four hundred forty".