39113103744 has 1280 divisors, whose sum is σ = 151279349760. Its totient is φ = 9853747200.

The previous prime is 39113103739. The next prime is 39113103761. The reversal of 39113103744 is 44730131193.

It is a happy number.

It is a super-3 number, since 3×39113103744³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39113103699 and 39113103708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1057110894 + ... + 1057110930.

It is an arithmetic number, because the mean of its divisors is an integer number (118186992).

Almost surely, 2^39113103744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39113103744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75639674880).

39113103744 is an abundant number, since it is smaller than the sum of its proper divisors (112166246016).

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

39113103744 is a wasteful number, since it uses less digits than its factorization.

39113103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 39113103744 in words is "thirty-nine billion, one hundred thirteen million, one hundred three thousand, seven hundred forty-four".