10022306040 has 256 divisors, whose sum is σ = 35054208000. Its totient is φ = 2543546880.

The previous prime is 10022306023. The next prime is 10022306057. The reversal of 10022306040 is 4060322001.

It is a happy number.

10022306040 is a `hidden beast` number, since 10 + 0 + 22 + 30 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10022306023) and next prime (10022306057).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2221467 + ... + 2225973.

It is an arithmetic number, because the mean of its divisors is an integer number (136930500).

Almost surely, 2^10022306040 is an apocalyptic number.

10022306040 is a gapful number since it is divisible by the number (10) 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 10022306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527104000).

10022306040 is an abundant number, since it is smaller than the sum of its proper divisors (25031901960).

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

10022306040 is a wasteful number, since it uses less digits than its factorization.

10022306040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10022306040 its reverse (4060322001), we get a palindrome (14082628041).

The spelling of 10022306040 in words is "ten billion, twenty-two million, three hundred six thousand, forty".