22842259440 has 1440 divisors, whose sum is σ = 104987280384. Its totient is φ = 4035870720.

The previous prime is 22842259381. The next prime is 22842259469. The reversal of 22842259440 is 4495224822.

It is a super-2 number, since 2×22842259440² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 22842259392 and 22842259401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 486005497 + ... + 486005543.

Almost surely, 2^22842259440 is an apocalyptic number.

22842259440 is a gapful number since it is divisible by the number (20) 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 22842259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52493640192).

22842259440 is an abundant number, since it is smaller than the sum of its proper divisors (82145020944).

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

22842259440 is a wasteful number, since it uses less digits than its factorization.

22842259440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

It can be divided in two parts, 22842 and 259440, that added together give a palindrome (282282).

The spelling of 22842259440 in words is "twenty-two billion, eight hundred forty-two million, two hundred fifty-nine thousand, four hundred forty".