402434231414220 has 240 divisors, whose sum is σ = 1272186092868768. Its totient is φ = 106490644116480.

The previous prime is 402434231414207. The next prime is 402434231414263. The reversal of 402434231414220 is 22414132434204.

402434231414220 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 3 + 4 + 231 + 414 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×402434231414220² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144637407 + ... + 147393513.

Almost surely, 2^{402434231414220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402434231414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636093046434384).

402434231414220 is an abundant number, since it is smaller than the sum of its proper divisors (869751861454548).

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

402434231414220 is a wasteful number, since it uses less digits than its factorization.

402434231414220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756822 (or 2756811 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 402434231414220 its reverse (22414132434204), we get a palindrome (424848363848424).

The spelling of 402434231414220 in words is "four hundred two trillion, four hundred thirty-four billion, two hundred thirty-one million, four hundred fourteen thousand, two hundred twenty".