22432434840 has 320 divisors, whose sum is σ = 77153472000. Its totient is φ = 5844061440.

The previous prime is 22432434839. The next prime is 22432434853. The reversal of 22432434840 is 4843423422.

22432434840 is a `hidden beast` number, since 224 + 324 + 34 + 84 + 0 = 666.

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 = 22432434795 and 22432434804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45686995 + ... + 45687485.

It is an arithmetic number, because the mean of its divisors is an integer number (241104600).

Almost surely, 2^22432434840 is an apocalyptic number.

22432434840 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 22432434840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38576736000).

22432434840 is an abundant number, since it is smaller than the sum of its proper divisors (54721037160).

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

22432434840 is a wasteful number, since it uses less digits than its factorization.

22432434840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 22432434840 in words is "twenty-two billion, four hundred thirty-two million, four hundred thirty-four thousand, eight hundred forty".