426644006392800 has 1152 divisors, whose sum is σ = 1869117098849280. Its totient is φ = 91687757414400.

The previous prime is 426644006392781. The next prime is 426644006392837. The reversal of 426644006392800 is 8293600446624.

426644006392800 is a `hidden beast` number, since 4 + 2 + 66 + 440 + 0 + 63 + 9 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2511195855 + ... + 2511365745.

It is an arithmetic number, because the mean of its divisors is an integer number (1622497481640).

Almost surely, 2^{426644006392800} is an apocalyptic number.

426644006392800 is a gapful number since it is divisible by the number (40) 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 426644006392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934558549424640).

426644006392800 is an abundant number, since it is smaller than the sum of its proper divisors (1442473092456480).

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

426644006392800 is a wasteful number, since it uses less digits than its factorization.

426644006392800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170921 (or 170902 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 426644006392800 in words is "four hundred twenty-six trillion, six hundred forty-four billion, six million, three hundred ninety-two thousand, eight hundred".