406988617970880 has 1792 divisors, whose sum is σ = 1612912132177920. Its totient is φ = 96578784276480.

The previous prime is 406988617970821. The next prime is 406988617970881. The reversal of 406988617970880 is 88079716889604.

406988617970880 is a `hidden beast` number, since 406 + 9 + 8 + 8 + 61 + 7 + 9 + 70 + 8 + 80 = 666.

It is a super-3 number, since 3×406988617970880³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406988617970880.

It is not an unprimeable number, because it can be changed into a prime (406988617970881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 128671708179 + ... + 128671711341.

It is an arithmetic number, because the mean of its divisors is an integer number (900062573760).

Almost surely, 2^{406988617970880} is an apocalyptic number.

406988617970880 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 406988617970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806456066088960).

406988617970880 is an abundant number, since it is smaller than the sum of its proper divisors (1205923514207040).

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

406988617970880 is a wasteful number, since it uses less digits than its factorization.

406988617970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 81.

The spelling of 406988617970880 in words is "four hundred six trillion, nine hundred eighty-eight billion, six hundred seventeen million, nine hundred seventy thousand, eight hundred eighty".