406729115100 has 1440 divisors, whose sum is σ = 1724139648000. Its totient is φ = 80472268800.

The previous prime is 406729115029. The next prime is 406729115131. The reversal of 406729115100 is 1511927604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2043864801 + ... + 2043864999.

It is an arithmetic number, because the mean of its divisors is an integer number (1197319200).

Almost surely, 2^406729115100 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 406729115100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862069824000).

406729115100 is an abundant number, since it is smaller than the sum of its proper divisors (1317410532900).

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

406729115100 is a wasteful number, since it uses less digits than its factorization.

406729115100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 406729115100 in words is "four hundred six billion, seven hundred twenty-nine million, one hundred fifteen thousand, one hundred".