399534179486400 has 1680 divisors, whose sum is σ = 1726122531748032. Its totient is φ = 88731500544000.

The previous prime is 399534179486329. The next prime is 399534179486417. The reversal of 399534179486400 is 4684971435993.

399534179486400 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 3 + 4 + 179 + 48 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-3 number, since 3×399534179486400³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25544022580 + ... + 25544038220.

Almost surely, 2^{399534179486400} is an apocalyptic number.

399534179486400 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 399534179486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863061265874016).

399534179486400 is an abundant number, since it is smaller than the sum of its proper divisors (1326588352261632).

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

399534179486400 is a wasteful number, since it uses less digits than its factorization.

399534179486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16480 (or 16456 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 399534179486400 in words is "three hundred ninety-nine trillion, five hundred thirty-four billion, one hundred seventy-nine million, four hundred eighty-six thousand, four hundred".