397419848751744 has 1152 divisors, whose sum is σ = 1515028273274880. Its totient is φ = 101432637296640.

The previous prime is 397419848751701. The next prime is 397419848751749. The reversal of 397419848751744 is 447157848914793.

397419848751744 is a `hidden beast` number, since 3 + 9 + 7 + 4 + 1 + 98 + 4 + 8 + 7 + 517 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×397419848751744³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (397419848751749) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1140502789 + ... + 1140851195.

It is an arithmetic number, because the mean of its divisors is an integer number (1315128709440).

Almost surely, 2^{397419848751744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397419848751744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757514136637440).

397419848751744 is an abundant number, since it is smaller than the sum of its proper divisors (1117608424523136).

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

397419848751744 is a wasteful number, since it uses less digits than its factorization.

397419848751744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348500 (or 348463 counting only the distinct ones).

The product of its digits is 6827950080, while the sum is 81.

The spelling of 397419848751744 in words is "three hundred ninety-seven trillion, four hundred nineteen billion, eight hundred forty-eight million, seven hundred fifty-one thousand, seven hundred forty-four".