406103156800 has 336 divisors, whose sum is σ = 1112623412544. Its totient is φ = 144645120000.

The previous prime is 406103156749. The next prime is 406103156801. The reversal of 406103156800 is 8651301604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (406103156801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314564155 + ... + 314565445.

It is an arithmetic number, because the mean of its divisors is an integer number (3311379204).

Almost surely, 2^406103156800 is an apocalyptic number.

406103156800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406103156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556311706272).

406103156800 is an abundant number, since it is smaller than the sum of its proper divisors (706520255744).

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

406103156800 is a wasteful number, since it uses less digits than its factorization.

406103156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 406103156800 in words is "four hundred six billion, one hundred three million, one hundred fifty-six thousand, eight hundred".