397242613152000 has 3456 divisors, whose sum is σ = 1852844686737408. Its totient is φ = 82332536832000.

The previous prime is 397242613151963. The next prime is 397242613152019. The reversal of 397242613152000 is 251316242793.

It is a happy number.

397242613152000 is a `hidden beast` number, since 3 + 9 + 7 + 2 + 4 + 2 + 613 + 1 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 363442463454 + ... + 363442464546.

Almost surely, 2^{397242613152000} is an apocalyptic number.

397242613152000 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 397242613152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926422343368704).

397242613152000 is an abundant number, since it is smaller than the sum of its proper divisors (1455602073585408).

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

397242613152000 is a wasteful number, since it uses less digits than its factorization.

397242613152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

Adding to 397242613152000 its reverse (251316242793), we get a palindrome (397493929394793).

The spelling of 397242613152000 in words is "three hundred ninety-seven trillion, two hundred forty-two billion, six hundred thirteen million, one hundred fifty-two thousand".