396141266273760 has 2592 divisors, whose sum is σ = 1709843675904000. Its totient is φ = 86366862489600.

The previous prime is 396141266273759. The next prime is 396141266273821. The reversal of 396141266273760 is 67372662141693.

It is a happy number.

396141266273760 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 41 + 266 + 273 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 113215564491 + ... + 113215567989.

It is an arithmetic number, because the mean of its divisors is an integer number (659661912000).

Almost surely, 2^{396141266273760} is an apocalyptic number.

396141266273760 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 396141266273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854921837952000).

396141266273760 is an abundant number, since it is smaller than the sum of its proper divisors (1313702409630240).

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

396141266273760 is an equidigital number, since it uses as much as digits as its factorization.

396141266273760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 396141266273760 in words is "three hundred ninety-six trillion, one hundred forty-one billion, two hundred sixty-six million, two hundred seventy-three thousand, seven hundred sixty".