398949373734912 has 3744 divisors, whose sum is σ = 1607996477767680. Its totient is φ = 92704053657600.

The previous prime is 398949373734881. The next prime is 398949373734929. The reversal of 398949373734912 is 219437373949893.

398949373734912 is a `hidden beast` number, since 3 + 9 + 8 + 9 + 4 + 93 + 7 + 37 + 3 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3141333651393 + ... + 3141333651519.

It is an arithmetic number, because the mean of its divisors is an integer number (429486238720).

Almost surely, 2^{398949373734912} is an apocalyptic number.

398949373734912 is a gapful number since it is divisible by the number (32) 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 398949373734912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803998238883840).

398949373734912 is an abundant number, since it is smaller than the sum of its proper divisors (1209047104032768).

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

398949373734912 is a wasteful number, since it uses less digits than its factorization.

398949373734912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 343 counting only the distinct ones).

The product of its digits is 6666395904, while the sum is 81.

The spelling of 398949373734912 in words is "three hundred ninety-eight trillion, nine hundred forty-nine billion, three hundred seventy-three million, seven hundred thirty-four thousand, nine hundred twelve".