399653066772000 has 768 divisors, whose sum is σ = 1501947604684800. Its totient is φ = 103116810240000.

The previous prime is 399653066771989. The next prime is 399653066772023. The reversal of 399653066772000 is 277660356993.

399653066772000 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 530 + 6 + 6 + 77 + 20 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28528300996 + ... + 28528315004.

It is an arithmetic number, because the mean of its divisors is an integer number (1955660943600).

Almost surely, 2^{399653066772000} is an apocalyptic number.

399653066772000 is a gapful number since it is divisible by the number (30) 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 399653066772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750973802342400).

399653066772000 is an abundant number, since it is smaller than the sum of its proper divisors (1102294537912800).

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

399653066772000 is a wasteful number, since it uses less digits than its factorization.

399653066772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22595 (or 22571 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 399653066772000 in words is "three hundred ninety-nine trillion, six hundred fifty-three billion, sixty-six million, seven hundred seventy-two thousand".