426414303414624 has 192 divisors, whose sum is σ = 1324888222371840. Its totient is φ = 117495221975040.

The previous prime is 426414303414601. The next prime is 426414303414629.

426414303414624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×426414303414624² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426414303414629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4140934 + ... + 29495354.

It is an arithmetic number, because the mean of its divisors is an integer number (6900459491520).

Almost surely, 2^{426414303414624} 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 426414303414624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662444111185920).

426414303414624 is an abundant number, since it is smaller than the sum of its proper divisors (898473918957216).

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

426414303414624 is a wasteful number, since it uses less digits than its factorization.

426414303414624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25355333 (or 25355325 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 426414303414624 in words is "four hundred twenty-six trillion, four hundred fourteen billion, three hundred three million, four hundred fourteen thousand, six hundred twenty-four".