41388939120 has 240 divisors, whose sum is σ = 133568513568. Its totient is φ = 10595819520.

The previous prime is 41388939107. The next prime is 41388939127. The reversal of 41388939120 is 2193988314.

41388939120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41388939120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41388939127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44171292 + ... + 44172228.

Almost surely, 2^41388939120 is an apocalyptic number.

41388939120 is a gapful number since it is divisible by the number (40) 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 41388939120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66784256784).

41388939120 is an abundant number, since it is smaller than the sum of its proper divisors (92179574448).

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

41388939120 is a wasteful number, since it uses less digits than its factorization.

41388939120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 41388939120 in words is "forty-one billion, three hundred eighty-eight million, nine hundred thirty-nine thousand, one hundred twenty".