397114099200 has 2880 divisors, whose sum is σ = 1923798868992. Its totient is φ = 78829977600.

The previous prime is 397114099189. The next prime is 397114099229. The reversal of 397114099200 is 2990411793.

397114099200 is a `hidden beast` number, since 39 + 7 + 1 + 1 + 409 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6510067170 + ... + 6510067230.

Almost surely, 2^397114099200 is an apocalyptic number.

397114099200 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 397114099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961899434496).

397114099200 is an abundant number, since it is smaller than the sum of its proper divisors (1526684769792).

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

397114099200 is a wasteful number, since it uses less digits than its factorization.

397114099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 397114099200 in words is "three hundred ninety-seven billion, one hundred fourteen million, ninety-nine thousand, two hundred".