10001365740 has 144 divisors (see below), whose sum is σ = 30681050400. Its totient is φ = 2637004800.

The previous prime is 10001365739. The next prime is 10001365849. The reversal of 10001365740 is 4756310001.

10001365740 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 3 + 657 + 4 + 0 = 666.

It is a super-3 number, since 3×10001365740³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6892015 + ... + 6893465.

It is an arithmetic number, because the mean of its divisors is an integer number (213062850).

Almost surely, 2^10001365740 is an apocalyptic number.

10001365740 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 10001365740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340525200).

10001365740 is an abundant number, since it is smaller than the sum of its proper divisors (20679684660).

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

10001365740 is a wasteful number, since it uses less digits than its factorization.

10001365740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10001365740 its reverse (4756310001), we get a palindrome (14757675741).

The spelling of 10001365740 in words is "ten billion, one million, three hundred sixty-five thousand, seven hundred forty".