426191040 has 252 divisors, whose sum is σ = 1612617552. Its totient is φ = 103234560.

The previous prime is 426191039. The next prime is 426191041. The reversal of 426191040 is 40191624.

426191040 is a `hidden beast` number, since 4 + 2 + 619 + 1 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (426191039) and next prime (426191041).

It is a junction number, because it is equal to n+sod(n) for n = 426190995 and 426191013.

It is not an unprimeable number, because it can be changed into a prime (426191041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 347869 + ... + 349091.

It is an arithmetic number, because the mean of its divisors is an integer number (6399276).

Almost surely, 2^426191040 is an apocalyptic number.

426191040 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 426191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806308776).

426191040 is an abundant number, since it is smaller than the sum of its proper divisors (1186426512).

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

426191040 is a wasteful number, since it uses less digits than its factorization.

426191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 426191040 is about 20644.3948809356. The cubic root of 426191040 is about 752.5489804507.

The spelling of 426191040 in words is "four hundred twenty-six million, one hundred ninety-one thousand, forty".