22133139840 has 640 divisors, whose sum is σ = 91066187520. Its totient is φ = 5038848000.

The previous prime is 22133139811. The next prime is 22133139871. The reversal of 22133139840 is 4893133122.

22133139840 is a `hidden beast` number, since 2 + 213 + 313 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 22133139795 and 22133139804.

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, 88179715 + ... + 88179965.

It is an arithmetic number, because the mean of its divisors is an integer number (142290918).

Almost surely, 2^22133139840 is an apocalyptic number.

22133139840 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 22133139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45533093760).

22133139840 is an abundant number, since it is smaller than the sum of its proper divisors (68933047680).

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

22133139840 is an frugal number, since it uses more digits than its factorization.

22133139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 22133139840 in words is "twenty-two billion, one hundred thirty-three million, one hundred thirty-nine thousand, eight hundred forty".