398242874106 has 512 divisors, whose sum is σ = 1230888960000. Its totient is φ = 94189132800.

The previous prime is 398242873999. The next prime is 398242874131. The reversal of 398242874106 is 601478242893.

398242874106 is a `hidden beast` number, since 39 + 82 + 42 + 87 + 410 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 107370180 + ... + 107373888.

It is an arithmetic number, because the mean of its divisors is an integer number (2404080000).

Almost surely, 2^398242874106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398242874106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615444480000).

398242874106 is an abundant number, since it is smaller than the sum of its proper divisors (832646085894).

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

398242874106 is a wasteful number, since it uses less digits than its factorization.

398242874106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 398242874106 in words is "three hundred ninety-eight billion, two hundred forty-two million, eight hundred seventy-four thousand, one hundred six".