426572465760840 has 512 divisors, whose sum is σ = 1503789696368640. Its totient is φ = 94790758809600.

The previous prime is 426572465760817. The next prime is 426572465760871. The reversal of 426572465760840 is 48067564275624.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26649112117 + ... + 26649128123.

It is an arithmetic number, because the mean of its divisors is an integer number (2937089250720).

Almost surely, 2^{426572465760840} is an apocalyptic number.

426572465760840 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 426572465760840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751894848184320).

426572465760840 is an abundant number, since it is smaller than the sum of its proper divisors (1077217230607800).

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

426572465760840 is a wasteful number, since it uses less digits than its factorization.

426572465760840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22293 (or 22289 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 66.

The spelling of 426572465760840 in words is "four hundred twenty-six trillion, five hundred seventy-two billion, four hundred sixty-five million, seven hundred sixty thousand, eight hundred forty".