398414769844 has 192 divisors, whose sum is σ = 918781968384. Its totient is φ = 146689449984.

The previous prime is 398414769839. The next prime is 398414769887. The reversal of 398414769844 is 448967414893.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 398414769844.

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 63 ways as a sum of consecutive naturals, for example, 311992134 + ... + 311993410.

It is an arithmetic number, because the mean of its divisors is an integer number (4785322752).

Almost surely, 2^398414769844 is an apocalyptic number.

398414769844 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 398414769844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459390984192).

398414769844 is an abundant number, since it is smaller than the sum of its proper divisors (520367198540).

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

398414769844 is a wasteful number, since it uses less digits than its factorization.

398414769844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1840 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 67.

The spelling of 398414769844 in words is "three hundred ninety-eight billion, four hundred fourteen million, seven hundred sixty-nine thousand, eight hundred forty-four".