10426890240 has 480 divisors, whose sum is σ = 40289689440. Its totient is φ = 2563964928.

The previous prime is 10426890233. The next prime is 10426890241. The reversal of 10426890240 is 4209862401.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10426890195 and 10426890204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10426890241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10782237 + ... + 10783203.

It is an arithmetic number, because the mean of its divisors is an integer number (83936853).

Almost surely, 2^10426890240 is an apocalyptic number.

10426890240 is a gapful number since it is divisible by the number (10) 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 10426890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20144844720).

10426890240 is an abundant number, since it is smaller than the sum of its proper divisors (29862799200).

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

10426890240 is an equidigital number, since it uses as much as digits as its factorization.

10426890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10426890240 in words is "ten billion, four hundred twenty-six million, eight hundred ninety thousand, two hundred forty".