420333114122432 has 112 divisors (see below), whose sum is σ = 1006074366816000. Its totient is φ = 170211269458944.

The previous prime is 420333114122429. The next prime is 420333114122567. The reversal of 420333114122432 is 234221411333024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×420333114122432² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420333114122392 and 420333114122401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61920707 + ... + 68372802.

Almost surely, 2^{420333114122432} is an apocalyptic number.

It is an amenable number.

420333114122432 is an abundant number, since it is smaller than the sum of its proper divisors (585741252693568).

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

420333114122432 is a wasteful number, since it uses less digits than its factorization.

420333114122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130293926 (or 130293916 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 420333114122432 its reverse (234221411333024), we get a palindrome (654554525455456).

The spelling of 420333114122432 in words is "four hundred twenty trillion, three hundred thirty-three billion, one hundred fourteen million, one hundred twenty-two thousand, four hundred thirty-two".