406269997056 has 1664 divisors, whose sum is σ = 1650676531200. Its totient is φ = 96745881600.

The previous prime is 406269997051. The next prime is 406269997069. The reversal of 406269997056 is 650799962604.

406269997056 is a `hidden beast` number, since 406 + 2 + 6 + 99 + 97 + 0 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 406269996984 and 406269997002.

It is not an unprimeable number, because it can be changed into a prime (406269997051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13105483761 + ... + 13105483791.

Almost surely, 2^406269997056 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 406269997056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825338265600).

406269997056 is an abundant number, since it is smaller than the sum of its proper divisors (1244406534144).

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

406269997056 is an equidigital number, since it uses as much as digits as its factorization.

406269997056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 406269997056 in words is "four hundred six billion, two hundred sixty-nine million, nine hundred ninety-seven thousand, fifty-six".