406753072992 has 288 divisors, whose sum is σ = 1344772473408. Its totient is φ = 114219859968.

The previous prime is 406753072981. The next prime is 406753072993. The reversal of 406753072992 is 299270357604.

406753072992 is a `hidden beast` number, since 40 + 6 + 7 + 5 + 307 + 299 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406753072993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43115508 + ... + 43124940.

It is an arithmetic number, because the mean of its divisors is an integer number (4669348866).

Almost surely, 2^406753072992 is an apocalyptic number.

406753072992 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 406753072992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672386236704).

406753072992 is an abundant number, since it is smaller than the sum of its proper divisors (938019400416).

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

406753072992 is a wasteful number, since it uses less digits than its factorization.

406753072992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9822 (or 9811 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 406753072992 in words is "four hundred six billion, seven hundred fifty-three million, seventy-two thousand, nine hundred ninety-two".