426403131040 has 144 divisors (see below), whose sum is σ = 1070971359192. Its totient is φ = 160400654336.

The previous prime is 426403130957. The next prime is 426403131053. The reversal of 426403131040 is 40131304624.

It can be written as a sum of positive squares in 12 ways, for example, as 186212962576 + 240190168464 = 431524^2 + 490092^2 .

It is a super-2 number, since 2×426403131040² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74582262 + ... + 74587978.

Almost surely, 2^426403131040 is an apocalyptic number.

426403131040 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 426403131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535485679596).

426403131040 is an abundant number, since it is smaller than the sum of its proper divisors (644568228152).

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

426403131040 is a wasteful number, since it uses less digits than its factorization.

426403131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 426403131040 its reverse (40131304624), we get a palindrome (466534435664).

The spelling of 426403131040 in words is "four hundred twenty-six billion, four hundred three million, one hundred thirty-one thousand, forty".