21420112000140 has 216 divisors, whose sum is σ = 75740202195840. Its totient is φ = 4885803288576.

The previous prime is 21420112000129. The next prime is 21420112000163. The reversal of 21420112000140 is 4100021102412.

21420112000140 is a `hidden beast` number, since 2 + 1 + 420 + 1 + 1 + 200 + 0 + 1 + 40 = 666.

It is a super-5 number, since 5×21420112000140⁵ (a number of 68 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1689724 + ... + 6759836.

It is an arithmetic number, because the mean of its divisors is an integer number (350649084240).

Almost surely, 2^{21420112000140} is an apocalyptic number.

21420112000140 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 21420112000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37870101097920).

21420112000140 is an abundant number, since it is smaller than the sum of its proper divisors (54320090195700).

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

21420112000140 is a wasteful number, since it uses less digits than its factorization.

21420112000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070621 (or 5070609 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21420112000140 its reverse (4100021102412), we get a palindrome (25520133102552).

The spelling of 21420112000140 in words is "twenty-one trillion, four hundred twenty billion, one hundred twelve million, one hundred forty", and thus it is an aban number.