10140092421984 has 768 divisors, whose sum is σ = 35024405391360. Its totient is φ = 2794535976960.

The previous prime is 10140092421983. The next prime is 10140092422001. The reversal of 10140092421984 is 48912429004101.

10140092421984 is a `hidden beast` number, since 1 + 0 + 1 + 400 + 9 + 24 + 219 + 8 + 4 = 666.

10140092421984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140092421983) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4745011764 + ... + 4745013900.

It is an arithmetic number, because the mean of its divisors is an integer number (45604694520).

Almost surely, 2^{10140092421984} is an apocalyptic number.

10140092421984 is a gapful number since it is divisible by the number (14) 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 10140092421984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512202695680).

10140092421984 is an abundant number, since it is smaller than the sum of its proper divisors (24884312969376).

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

10140092421984 is a wasteful number, since it uses less digits than its factorization.

10140092421984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10140092421984 in words is "ten trillion, one hundred forty billion, ninety-two million, four hundred twenty-one thousand, nine hundred eighty-four".