10201042440 has 192 divisors, whose sum is σ = 35208950400. Its totient is φ = 2552580096.

The previous prime is 10201042427. The next prime is 10201042459. The reversal of 10201042440 is 4424010201.

10201042440 is a `hidden beast` number, since 1 + 0 + 201 + 0 + 424 + 40 = 666.

It is a super-2 number, since 2×10201042440² (a number of 21 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2194759 + ... + 2199401.

It is an arithmetic number, because the mean of its divisors is an integer number (183379950).

Almost surely, 2^10201042440 is an apocalyptic number.

10201042440 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 10201042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604475200).

10201042440 is an abundant number, since it is smaller than the sum of its proper divisors (25007907960).

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

10201042440 is a wasteful number, since it uses less digits than its factorization.

10201042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10201042440 its reverse (4424010201), we get a palindrome (14625052641).

The spelling of 10201042440 in words is "ten billion, two hundred one million, forty-two thousand, four hundred forty".