406227249792 has 2560 divisors, whose sum is σ = 1751655628800. Its totient is φ = 90296156160.

The previous prime is 406227249767. The next prime is 406227249817. The reversal of 406227249792 is 297942722604.

406227249792 is a `hidden beast` number, since 4 + 0 + 62 + 2 + 7 + 2 + 497 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (406227249767) and next prime (406227249817).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9447145323 + ... + 9447145365.

It is an arithmetic number, because the mean of its divisors is an integer number (684240480).

Almost surely, 2^406227249792 is an apocalyptic number.

406227249792 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 406227249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875827814400).

406227249792 is an abundant number, since it is smaller than the sum of its proper divisors (1345428379008).

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

406227249792 is a wasteful number, since it uses less digits than its factorization.

406227249792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 406227249792 in words is "four hundred six billion, two hundred twenty-seven million, two hundred forty-nine thousand, seven hundred ninety-two".