426053089459296 has 1152 divisors, whose sum is σ = 1403718652224000. Its totient is φ = 125511197220864.

The previous prime is 426053089459229. The next prime is 426053089459313. The reversal of 426053089459296 is 692954980350624.

It is a happy number.

426053089459296 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 5 + 3 + 0 + 89 + 459 + 2 + 96 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 541363518615 + ... + 541363519401.

It is an arithmetic number, because the mean of its divisors is an integer number (1218505774500).

Almost surely, 2^{426053089459296} 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 426053089459296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701859326112000).

426053089459296 is an abundant number, since it is smaller than the sum of its proper divisors (977665562764704).

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

426053089459296 is a wasteful number, since it uses less digits than its factorization.

426053089459296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 426053089459296 in words is "four hundred twenty-six trillion, fifty-three billion, eighty-nine million, four hundred fifty-nine thousand, two hundred ninety-six".