10142400039 has 16 divisors (see below), whose sum is σ = 14479572960. Its totient is φ = 6292352000.

The previous prime is 10142400017. The next prime is 10142400041. The reversal of 10142400039 is 93000424101.

10142400039 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10142400039 - 2⁸ = 10142399783 is a prime.

It is a super-2 number, since 2×10142400039² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10142399991 and 10142400018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142400139) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1112712 + ... + 1121789.

It is an arithmetic number, because the mean of its divisors is an integer number (904973310).

Almost surely, 2^10142400039 is an apocalyptic number.

10142400039 is a deficient number, since it is larger than the sum of its proper divisors (4337172921).

10142400039 is a wasteful number, since it uses less digits than its factorization.

10142400039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234610.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 10142400039 in words is "ten billion, one hundred forty-two million, four hundred thousand, thirty-nine".