397188126720 has 1344 divisors, whose sum is σ = 1784032024320. Its totient is φ = 82413158400.

The previous prime is 397188126719. The next prime is 397188126761. The reversal of 397188126720 is 27621881793.

It is a happy number.

397188126720 is a `hidden beast` number, since 397 + 188 + 1 + 2 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 574801575 + ... + 574802265.

It is an arithmetic number, because the mean of its divisors is an integer number (1327404780).

Almost surely, 2^397188126720 is an apocalyptic number.

397188126720 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 397188126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892016012160).

397188126720 is an abundant number, since it is smaller than the sum of its proper divisors (1386843897600).

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

397188126720 is an equidigital number, since it uses as much as digits as its factorization.

397188126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 397188126720 in words is "three hundred ninety-seven billion, one hundred eighty-eight million, one hundred twenty-six thousand, seven hundred twenty".