396908926640640 has 960 divisors, whose sum is σ = 1432710921882240. Its totient is φ = 105309842964480.

The previous prime is 396908926640531. The next prime is 396908926640647. The reversal of 396908926640640 is 46046629809693.

It is a happy number.

396908926640640 is a `hidden beast` number, since 3 + 9 + 6 + 90 + 8 + 92 + 6 + 6 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (396908926640647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109734288112 + ... + 109734291728.

It is an arithmetic number, because the mean of its divisors is an integer number (1492407210294).

Almost surely, 2^{396908926640640} is an apocalyptic number.

396908926640640 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 396908926640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716355460941120).

396908926640640 is an abundant number, since it is smaller than the sum of its proper divisors (1035801995241600).

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

396908926640640 is an equidigital number, since it uses as much as digits as its factorization.

396908926640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 72.

The spelling of 396908926640640 in words is "three hundred ninety-six trillion, nine hundred eight billion, nine hundred twenty-six million, six hundred forty thousand, six hundred forty".