426138630144 has 384 divisors, whose sum is σ = 1238611046400. Its totient is φ = 129891041280.

The previous prime is 426138630133. The next prime is 426138630149. The reversal of 426138630144 is 441036831624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 426138630096 and 426138630105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426138630149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 389879262 + ... + 389880354.

It is an arithmetic number, because the mean of its divisors is an integer number (3225549600).

Almost surely, 2^426138630144 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 426138630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619305523200).

426138630144 is an abundant number, since it is smaller than the sum of its proper divisors (812472416256).

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

426138630144 is a wasteful number, since it uses less digits than its factorization.

426138630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 426138630144 in words is "four hundred twenty-six billion, one hundred thirty-eight million, six hundred thirty thousand, one hundred forty-four".