412311434323100 has 72 divisors (see below), whose sum is σ = 963802590373728. Its totient is φ = 152196595833600.

The previous prime is 412311434323099. The next prime is 412311434323109. The reversal of 412311434323100 is 1323434113214.

It is a super-2 number, since 2×412311434323100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412311434323109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38426099 + ... + 47970698.

It is an arithmetic number, because the mean of its divisors is an integer number (13386147088524).

Almost surely, 2^{412311434323100} is an apocalyptic number.

It is an amenable number.

412311434323100 is an abundant number, since it is smaller than the sum of its proper divisors (551491156050628).

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

412311434323100 is a wasteful number, since it uses less digits than its factorization.

412311434323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86400495 (or 86400488 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 412311434323100 its reverse (1323434113214), we get a palindrome (413634868436314).

The spelling of 412311434323100 in words is "four hundred twelve trillion, three hundred eleven billion, four hundred thirty-four million, three hundred twenty-three thousand, one hundred".