21442141197360 has 400 divisors, whose sum is σ = 80519930457120. Its totient is φ = 5257032192000.

The previous prime is 21442141197283. The next prime is 21442141197377. The reversal of 21442141197360 is 6379114124412.

21442141197360 is a `hidden beast` number, since 2 + 1 + 4 + 421 + 4 + 1 + 197 + 36 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20637196 + ... + 21651284.

Almost surely, 2^{21442141197360} is an apocalyptic number.

21442141197360 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 21442141197360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40259965228560).

21442141197360 is an abundant number, since it is smaller than the sum of its proper divisors (59077789259760).

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

21442141197360 is a wasteful number, since it uses less digits than its factorization.

21442141197360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014378 (or 1014363 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21442141197360 in words is "twenty-one trillion, four hundred forty-two billion, one hundred forty-one million, one hundred ninety-seven thousand, three hundred sixty".