10638042240 has 256 divisors, whose sum is σ = 40793472000. Its totient is φ = 2303520768.

The previous prime is 10638042211. The next prime is 10638042263. The reversal of 10638042240 is 4224083601.

It is a super-2 number, since 2×10638042240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10638042198 and 10638042207.

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 31 ways as a sum of consecutive naturals, for example, 234531 + ... + 276189.

It is an arithmetic number, because the mean of its divisors is an integer number (159349500).

Almost surely, 2^10638042240 is an apocalyptic number.

10638042240 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 10638042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20396736000).

10638042240 is an abundant number, since it is smaller than the sum of its proper divisors (30155429760).

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

10638042240 is a wasteful number, since it uses less digits than its factorization.

10638042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41707 (or 41695 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10638042240 in words is "ten billion, six hundred thirty-eight million, forty-two thousand, two hundred forty".