426205714441000 has 128 divisors (see below), whose sum is σ = 1074051803784960. Its totient is φ = 157366299936000.

The previous prime is 426205714440931. The next prime is 426205714441007. The reversal of 426205714441000 is 144417502624.

It is a super-2 number, since 2×426205714441000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (426205714441007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1421621115 + ... + 1421920885.

It is an arithmetic number, because the mean of its divisors is an integer number (8391029717070).

Almost surely, 2^{426205714441000} is an apocalyptic number.

426205714441000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426205714441000 is an abundant number, since it is smaller than the sum of its proper divisors (647846089343960).

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

426205714441000 is a wasteful number, since it uses less digits than its factorization.

426205714441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409172 (or 409158 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 426205714441000 in words is "four hundred twenty-six trillion, two hundred five billion, seven hundred fourteen million, four hundred forty-one thousand".