22408151040 has 600 divisors, whose sum is σ = 87923560032. Its totient is φ = 5414584320.

The previous prime is 22408151021. The next prime is 22408151047. The reversal of 22408151040 is 4015180422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22408150995 and 22408151013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22408151047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72990567 + ... + 72990873.

Almost surely, 2^22408151040 is an apocalyptic number.

22408151040 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 22408151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43961780016).

22408151040 is an abundant number, since it is smaller than the sum of its proper divisors (65515408992).

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

22408151040 is an equidigital number, since it uses as much as digits as its factorization.

22408151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 22408151040 in words is "twenty-two billion, four hundred eight million, one hundred fifty-one thousand, forty".