426640046624 has 144 divisors (see below), whose sum is σ = 968243383296. Its totient is φ = 183498048000.

The previous prime is 426640046561. The next prime is 426640046641.

426640046624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 146258414 + ... + 146261330.

It is an arithmetic number, because the mean of its divisors is an integer number (6723912384).

Almost surely, 2^426640046624 is an apocalyptic number.

426640046624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426640046624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484121691648).

426640046624 is an abundant number, since it is smaller than the sum of its proper divisors (541603336672).

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

426640046624 is a wasteful number, since it uses less digits than its factorization.

426640046624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 426640046624 in words is "four hundred twenty-six billion, six hundred forty million, forty-six thousand, six hundred twenty-four".