399132071324100 has 405 divisors, whose sum is σ = 1322222420947197. Its totient is φ = 104148583859520.

The previous prime is 399132071324081. The next prime is 399132071324101. The reversal of 399132071324100 is 1423170231993.

The square root of 399132071324100 is 19978290.

It is a perfect power (a square), and thus also a powerful number.

399132071324100 is a `hidden beast` number, since 3 + 9 + 9 + 13 + 207 + 1 + 324 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 143687545676676 + 255444525647424 = 11986974^2 + 15982632^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (399132071324101) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 84508164339 + ... + 84508169061.

Almost surely, 2^{399132071324100} is an apocalyptic number.

399132071324100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

399132071324100 is the 19978290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399132071324100

399132071324100 is an abundant number, since it is smaller than the sum of its proper divisors (923090349623097).

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

399132071324100 is an frugal number, since it uses more digits than its factorization.

399132071324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 399132071324100 in words is "three hundred ninety-nine trillion, one hundred thirty-two billion, seventy-one million, three hundred twenty-four thousand, one hundred".