406100506800 has 60 divisors (see below), whose sum is σ = 1300875293960. Its totient is φ = 108293468160.

The previous prime is 406100506787. The next prime is 406100506813. The reversal of 406100506800 is 8605001604.

It is an interprime number because it is at equal distance from previous prime (406100506787) and next prime (406100506813).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169207345 + ... + 169209744.

Almost surely, 2^406100506800 is an apocalyptic number.

406100506800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406100506800 is an abundant number, since it is smaller than the sum of its proper divisors (894774787160).

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

406100506800 is a wasteful number, since it uses less digits than its factorization.

406100506800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338417110 (or 338417099 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 406100506800 in words is "four hundred six billion, one hundred million, five hundred six thousand, eight hundred".