406643692392 has 256 divisors, whose sum is σ = 1302013440000. Its totient is φ = 115191072000.

The previous prime is 406643692391. The next prime is 406643692409. The reversal of 406643692392 is 293296346604.

406643692392 is a `hidden beast` number, since 40 + 6 + 6 + 4 + 369 + 239 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (406643692391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86905909 + ... + 86910587.

It is an arithmetic number, because the mean of its divisors is an integer number (5085990000).

Almost surely, 2^406643692392 is an apocalyptic number.

406643692392 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 406643692392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651006720000).

406643692392 is an abundant number, since it is smaller than the sum of its proper divisors (895369747608).

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

406643692392 is a wasteful number, since it uses less digits than its factorization.

406643692392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181 (or 5171 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 406643692392 in words is "four hundred six billion, six hundred forty-three million, six hundred ninety-two thousand, three hundred ninety-two".