398642416218144 has 144 divisors (see below), whose sum is σ = 1322028421459200. Its totient is φ = 113897833176960.

The previous prime is 398642416218113. The next prime is 398642416218173. The reversal of 398642416218144 is 441812614246893.

It is a happy number.

398642416218144 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 424 + 1 + 62 + 1 + 8 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2017649112 + ... + 2017846679.

It is an arithmetic number, because the mean of its divisors is an integer number (9180752926800).

Almost surely, 2^{398642416218144} is an apocalyptic number.

It is an amenable number.

398642416218144 is an abundant number, since it is smaller than the sum of its proper divisors (923386005241056).

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

398642416218144 is a wasteful number, since it uses less digits than its factorization.

398642416218144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035495828 (or 4035495803 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 398642416218144 in words is "three hundred ninety-eight trillion, six hundred forty-two billion, four hundred sixteen million, two hundred eighteen thousand, one hundred forty-four".