10022801040 has 180 divisors, whose sum is σ = 39155539644. Its totient is φ = 2290917888.

The previous prime is 10022801039. The next prime is 10022801077. The reversal of 10022801040 is 4010822001.

10022801040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7988069376 + 2034731664 = 89376^2 + 45108^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106767 + ... + 177326.

Almost surely, 2^10022801040 is an apocalyptic number.

10022801040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022801040 is an abundant number, since it is smaller than the sum of its proper divisors (29132738604).

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

10022801040 is a wasteful number, since it uses less digits than its factorization.

10022801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284126 (or 284110 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 10022801040 in words is "ten billion, twenty-two million, eight hundred one thousand, forty".