406142976000 has 288 divisors, whose sum is σ = 1351802245248. Its totient is φ = 108291686400.

The previous prime is 406142975971. The next prime is 406142976037. The reversal of 406142976000 is 679241604.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 406142976000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49147869 + ... + 49156131.

It is an arithmetic number, because the mean of its divisors is an integer number (4693757796).

Almost surely, 2^406142976000 is an apocalyptic number.

406142976000 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 406142976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675901122624).

406142976000 is an abundant number, since it is smaller than the sum of its proper divisors (945659269248).

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

406142976000 is an frugal number, since it uses more digits than its factorization.

406142976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 406142976000 in words is "four hundred six billion, one hundred forty-two million, nine hundred seventy-six thousand".