420434403313100 has 72 divisors (see below), whose sum is σ = 999667403316288. Its totient is φ = 152211734228800.

The previous prime is 420434403313031. The next prime is 420434403313117. The reversal of 420434403313100 is 1313304434024.

It is a super-2 number, since 2×420434403313100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841629362 + ... + 842128761.

It is an arithmetic number, because the mean of its divisors is an integer number (13884269490504).

Almost surely, 2^{420434403313100} is an apocalyptic number.

It is an amenable number.

420434403313100 is an abundant number, since it is smaller than the sum of its proper divisors (579233000003188).

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

420434403313100 is a wasteful number, since it uses less digits than its factorization.

420434403313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683758375 (or 1683758368 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 420434403313100 its reverse (1313304434024), we get a palindrome (421747707747124).

The spelling of 420434403313100 in words is "four hundred twenty trillion, four hundred thirty-four billion, four hundred three million, three hundred thirteen thousand, one hundred".