22328024040 has 768 divisors, whose sum is σ = 92252160000. Its totient is φ = 4663733760.

The previous prime is 22328024023. The next prime is 22328024057. The reversal of 22328024040 is 4042082322.

It is an interprime number because it is at equal distance from previous prime (22328024023) and next prime (22328024057).

It is a super-3 number, since 3×22328024040³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22328023995 and 22328024013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72729567 + ... + 72729873.

It is an arithmetic number, because the mean of its divisors is an integer number (120120000).

Almost surely, 2^22328024040 is an apocalyptic number.

22328024040 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 22328024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46126080000).

22328024040 is an abundant number, since it is smaller than the sum of its proper divisors (69924135960).

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

22328024040 is a wasteful number, since it uses less digits than its factorization.

22328024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 22328024040 in words is "twenty-two billion, three hundred twenty-eight million, twenty-four thousand, forty".