434311111400220 has 144 divisors (see below), whose sum is σ = 1431481558241280. Its totient is φ = 106181324323200.

The previous prime is 434311111400141. The next prime is 434311111400249. The reversal of 434311111400220 is 22004111113434.

It is a happy number.

434311111400220 is a `hidden beast` number, since 4 + 3 + 4 + 31 + 1 + 1 + 1 + 1 + 400 + 220 = 666.

It is a super-2 number, since 2×434311111400220² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2048144836 + ... + 2048356875.

Almost surely, 2^{434311111400220} is an apocalyptic number.

It is an amenable number.

434311111400220 is an abundant number, since it is smaller than the sum of its proper divisors (997170446841060).

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

434311111400220 is a wasteful number, since it uses less digits than its factorization.

434311111400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096501776 (or 4096501771 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 434311111400220 its reverse (22004111113434), we get a palindrome (456315222513654).

The spelling of 434311111400220 in words is "four hundred thirty-four trillion, three hundred eleven billion, one hundred eleven million, four hundred thousand, two hundred twenty".