396441995040 has 2592 divisors, whose sum is σ = 1908296470080. Its totient is φ = 74034487296.

The previous prime is 396441995029. The next prime is 396441995051. The reversal of 396441995040 is 40599144693.

It is a happy number.

396441995040 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 41 + 99 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (396441995029) and next prime (396441995051).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9219581259 + ... + 9219581301.

It is an arithmetic number, because the mean of its divisors is an integer number (736225490).

Almost surely, 2^396441995040 is an apocalyptic number.

396441995040 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 396441995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954148235040).

396441995040 is an abundant number, since it is smaller than the sum of its proper divisors (1511854475040).

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

396441995040 is a wasteful number, since it uses less digits than its factorization.

396441995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 396441995040 in words is "three hundred ninety-six billion, four hundred forty-one million, nine hundred ninety-five thousand, forty".