21402429628176 has 135 divisors (see below), whose sum is σ = 61400143346997. Its totient is φ = 6959399512320.

The previous prime is 21402429628163. The next prime is 21402429628201. The reversal of 21402429628176 is 67182692420412.

The square root of 21402429628176 is 4626276.

It is a perfect power (a square), and thus also a powerful number.

21402429628176 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 2 + 4 + 2 + 9 + 628 + 1 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1031288994576 + 20371140633600 = 1015524^2 + 4513440^2 .

It is a super-2 number, since 2×21402429628176² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2276123091 + ... + 2276132493.

Almost surely, 2^{21402429628176} is an apocalyptic number.

21402429628176 is the 4626276-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21402429628176

21402429628176 is an abundant number, since it is smaller than the sum of its proper divisors (39997713718821).

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

21402429628176 is an frugal number, since it uses more digits than its factorization.

21402429628176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18902 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 21402429628176 in words is "twenty-one trillion, four hundred two billion, four hundred twenty-nine million, six hundred twenty-eight thousand, one hundred seventy-six".