21142040351160 has 256 divisors, whose sum is σ = 66326494792320. Its totient is φ = 5386194944000.

The previous prime is 21142040351137. The next prime is 21142040351177. The reversal of 21142040351160 is 6115304024112.

It is a super-2 number, since 2×21142040351160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135778150 + ... + 135933770.

Almost surely, 2^{21142040351160} is an apocalyptic number.

21142040351160 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 21142040351160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33163247396160).

21142040351160 is an abundant number, since it is smaller than the sum of its proper divisors (45184454441160).

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

21142040351160 is a wasteful number, since it uses less digits than its factorization.

21142040351160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156250 (or 156246 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 21142040351160 its reverse (6115304024112), we get a palindrome (27257344375272).

The spelling of 21142040351160 in words is "twenty-one trillion, one hundred forty-two billion, forty million, three hundred fifty-one thousand, one hundred sixty".