406642209792 has 528 divisors, whose sum is σ = 1429383090240. Its totient is φ = 101592465408.

The previous prime is 406642209769. The next prime is 406642209821. The reversal of 406642209792 is 297902246604.

It is a congruent 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, 37174948 + ... + 37185884.

Almost surely, 2^406642209792 is an apocalyptic number.

406642209792 is a gapful number since it is divisible by the number (42) 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 406642209792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714691545120).

406642209792 is an abundant number, since it is smaller than the sum of its proper divisors (1022740880448).

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

406642209792 is a wasteful number, since it uses less digits than its factorization.

406642209792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11006 (or 10981 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 406642209792 in words is "four hundred six billion, six hundred forty-two million, two hundred nine thousand, seven hundred ninety-two".