406991934720 has 576 divisors, whose sum is σ = 1653944624640. Its totient is φ = 92837117952.

The previous prime is 406991934719. The next prime is 406991934761. The reversal of 406991934720 is 27439199604.

406991934720 is a `hidden beast` number, since 406 + 9 + 9 + 193 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 143457142 + ... + 143459978.

It is an arithmetic number, because the mean of its divisors is an integer number (2871431640).

Almost surely, 2^406991934720 is an apocalyptic number.

406991934720 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 406991934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826972312320).

406991934720 is an abundant number, since it is smaller than the sum of its proper divisors (1246952689920).

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

406991934720 is a wasteful number, since it uses less digits than its factorization.

406991934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 406991934720 in words is "four hundred six billion, nine hundred ninety-one million, nine hundred thirty-four thousand, seven hundred twenty".