406613983776 has 288 divisors, whose sum is σ = 1440979642368. Its totient is φ = 97489566720.

The previous prime is 406613983733. The next prime is 406613983823. The reversal of 406613983776 is 677389316604.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086505 + ... + 1411991.

It is an arithmetic number, because the mean of its divisors is an integer number (5003401536).

Almost surely, 2^406613983776 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 406613983776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720489821184).

406613983776 is an abundant number, since it is smaller than the sum of its proper divisors (1034365658592).

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

406613983776 is a wasteful number, since it uses less digits than its factorization.

406613983776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325544 (or 325523 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 406613983776 in words is "four hundred six billion, six hundred thirteen million, nine hundred eighty-three thousand, seven hundred seventy-six".