412929986100 has 288 divisors, whose sum is σ = 1219997915136. Its totient is φ = 107823206400.

The previous prime is 412929986099. The next prime is 412929986177. The reversal of 412929986100 is 1689929214.

It is a super-2 number, since 2×412929986100² (a number of 24 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 95 ways as a sum of consecutive naturals, for example, 1772231584 + ... + 1772231816.

It is an arithmetic number, because the mean of its divisors is an integer number (4236103872).

Almost surely, 2^412929986100 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 412929986100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609998957568).

412929986100 is an abundant number, since it is smaller than the sum of its proper divisors (807067929036).

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

412929986100 is a wasteful number, since it uses less digits than its factorization.

412929986100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 412929986100 in words is "four hundred twelve billion, nine hundred twenty-nine million, nine hundred eighty-six thousand, one hundred".