921140219777400 has 384 divisors, whose sum is σ = 3626342674214400. Its totient is φ = 210530839219200.

The previous prime is 921140219777383. The next prime is 921140219777441. The reversal of 921140219777400 is 4777912041129.

921140219777400 is a `hidden beast` number, since 9 + 2 + 1 + 1 + 40 + 2 + 197 + 7 + 7 + 400 = 666.

921140219777400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 516629844 + ... + 518409756.

It is an arithmetic number, because the mean of its divisors is an integer number (9443600714100).

Almost surely, 2^{921140219777400} is an apocalyptic number.

921140219777400 is a gapful number since it is divisible by the number (90) 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 921140219777400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813171337107200).

921140219777400 is an abundant number, since it is smaller than the sum of its proper divisors (2705202454437000).

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

921140219777400 is a wasteful number, since it uses less digits than its factorization.

921140219777400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793636 (or 1793621 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 921140219777400 in words is "nine hundred twenty-one trillion, one hundred forty billion, two hundred nineteen million, seven hundred seventy-seven thousand, four hundred".