426244040442624 has 144 divisors (see below), whose sum is σ = 1165139048118528. Its totient is φ = 138235614621696.

The previous prime is 426244040442613. The next prime is 426244040442629.

426244040442624 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (426244040442629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718827349 + ... + 719420075.

It is an arithmetic number, because the mean of its divisors is an integer number (8091243389712).

Almost surely, 2^{426244040442624} 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 426244040442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582569524059264).

426244040442624 is an abundant number, since it is smaller than the sum of its proper divisors (738895007675904).

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

426244040442624 is a wasteful number, since it uses less digits than its factorization.

426244040442624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618090 (or 618076 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 48.

The spelling of 426244040442624 in words is "four hundred twenty-six trillion, two hundred forty-four billion, forty million, four hundred forty-two thousand, six hundred twenty-four".