397451035954944 has 1728 divisors, whose sum is σ = 1385201846246400. Its totient is φ = 112739480764416.

The previous prime is 397451035954909. The next prime is 397451035955011. The reversal of 397451035954944 is 449459530154793.

397451035954944 is a `hidden beast` number, since 3 + 9 + 7 + 4 + 5 + 1 + 0 + 35 + 9 + 549 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 327659550882 + ... + 327659552094.

It is an arithmetic number, because the mean of its divisors is an integer number (801621438800).

Almost surely, 2^{397451035954944} is an apocalyptic number.

397451035954944 is a gapful number since it is divisible by the number (34) 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 397451035954944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692600923123200).

397451035954944 is an abundant number, since it is smaller than the sum of its proper divisors (987750810291456).

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

397451035954944 is a wasteful number, since it uses less digits than its factorization.

397451035954944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 397451035954944 in words is "three hundred ninety-seven trillion, four hundred fifty-one billion, thirty-five million, nine hundred fifty-four thousand, nine hundred forty-four".