22426813440 has 440 divisors, whose sum is σ = 85119123672. Its totient is φ = 5626920960.

The previous prime is 22426813439. The next prime is 22426813463. The reversal of 22426813440 is 4431862422.

22426813440 is a `hidden beast` number, since 224 + 268 + 134 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1021953024 + 21404860416 = 31968^2 + 146304^2 .

It is a super-2 number, since 2×22426813440² (a number of 22 digits) contains 22 as substring.

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 = 22426813395 and 22426813404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7048650 + ... + 7051830.

Almost surely, 2^22426813440 is an apocalyptic number.

22426813440 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 22426813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42559561836).

22426813440 is an abundant number, since it is smaller than the sum of its proper divisors (62692310232).

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

22426813440 is a wasteful number, since it uses less digits than its factorization.

22426813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 22426813440 in words is "twenty-two billion, four hundred twenty-six million, eight hundred thirteen thousand, four hundred forty".