426095040 has 224 divisors, whose sum is σ = 1559600640. Its totient is φ = 96546816.

The previous prime is 426095029. The next prime is 426095051. The reversal of 426095040 is 40590624.

It is an interprime number because it is at equal distance from previous prime (426095029) and next prime (426095051).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×426095040² = 363113966225203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 426094989 and 426095007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095166 + ... + 1095554.

Almost surely, 2^426095040 is an apocalyptic number.

426095040 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 426095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779800320).

426095040 is an abundant number, since it is smaller than the sum of its proper divisors (1133505600).

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

426095040 is a wasteful number, since it uses less digits than its factorization.

426095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 426095040 is about 20642.0696636747. The cubic root of 426095040 is about 752.4924720460.

The spelling of 426095040 in words is "four hundred twenty-six million, ninety-five thousand, forty".