426395249280 has 2688 divisors, whose sum is σ = 2092476274560. Its totient is φ = 80800727040.

The previous prime is 426395249251. The next prime is 426395249281. The reversal of 426395249280 is 82942593624.

426395249280 is a `hidden beast` number, since 4 + 2 + 6 + 39 + 524 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is not an unprimeable number, because it can be changed into a prime (426395249281) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5137292119 + ... + 5137292201.

It is an arithmetic number, because the mean of its divisors is an integer number (778450995).

Almost surely, 2^426395249280 is an apocalyptic number.

426395249280 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 426395249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046238137280).

426395249280 is an abundant number, since it is smaller than the sum of its proper divisors (1666081025280).

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

426395249280 is a wasteful number, since it uses less digits than its factorization.

426395249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 426395249280 in words is "four hundred twenty-six billion, three hundred ninety-five million, two hundred forty-nine thousand, two hundred eighty".