406093849920 has 1120 divisors, whose sum is σ = 1619804736000. Its totient is φ = 96548474880.

The previous prime is 406093849871. The next prime is 406093849933. The reversal of 406093849920 is 29948390604.

406093849920 is a `hidden beast` number, since 4 + 0 + 60 + 93 + 8 + 499 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2725462006 + ... + 2725462154.

Almost surely, 2^406093849920 is an apocalyptic number.

406093849920 is a gapful number since it is divisible by the number (40) 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 406093849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809902368000).

406093849920 is an abundant number, since it is smaller than the sum of its proper divisors (1213710886080).

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

406093849920 is a wasteful number, since it uses less digits than its factorization.

406093849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 406093849920 in words is "four hundred six billion, ninety-three million, eight hundred forty-nine thousand, nine hundred twenty".