390226890144 has 384 divisors, whose sum is σ = 1384800399360. Its totient is φ = 93260242944.

The previous prime is 390226890091. The next prime is 390226890187. The reversal of 390226890144 is 441098622093.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 390226890093 and 390226890102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3766524 + ... + 3868740.

It is an arithmetic number, because the mean of its divisors is an integer number (3606251040).

Almost surely, 2^390226890144 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 390226890144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692400199680).

390226890144 is an abundant number, since it is smaller than the sum of its proper divisors (994573509216).

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

390226890144 is a wasteful number, since it uses less digits than its factorization.

390226890144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102292 (or 102284 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 390226890144 in words is "three hundred ninety billion, two hundred twenty-six million, eight hundred ninety thousand, one hundred forty-four".