10422405840 has 960 divisors, whose sum is σ = 44554862592. Its totient is φ = 1986969600.

The previous prime is 10422405821. The next prime is 10422405841. The reversal of 10422405840 is 4850422401.

It is a super-2 number, since 2×10422405840² (a number of 21 digits) 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 = 10422405798 and 10422405807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422405841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92233624 + ... + 92233736.

Almost surely, 2^10422405840 is an apocalyptic number.

10422405840 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 10422405840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22277431296).

10422405840 is an abundant number, since it is smaller than the sum of its proper divisors (34132456752).

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

10422405840 is a wasteful number, since it uses less digits than its factorization.

10422405840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 10422405840 in words is "ten billion, four hundred twenty-two million, four hundred five thousand, eight hundred forty".