406865112485832 has 3840 divisors, whose sum is σ = 1728589040640000. Its totient is φ = 88364586562560.

The previous prime is 406865112485803. The next prime is 406865112485893. The reversal of 406865112485832 is 238584211568604.

It is a happy number.

406865112485832 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 6 + 5 + 1 + 1 + 2 + 48 + 583 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 406865112485832.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 152784494533 + ... + 152784497195.

It is an arithmetic number, because the mean of its divisors is an integer number (450153396000).

Almost surely, 2^{406865112485832} is an apocalyptic number.

406865112485832 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 406865112485832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864294520320000).

406865112485832 is an abundant number, since it is smaller than the sum of its proper divisors (1321723928154168).

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

406865112485832 is a wasteful number, since it uses less digits than its factorization.

406865112485832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 406865112485832 in words is "four hundred six trillion, eight hundred sixty-five billion, one hundred twelve million, four hundred eighty-five thousand, eight hundred thirty-two".