9138042501120 has 960 divisors, whose sum is σ = 35556150389760. Its totient is φ = 2231318347776.

The previous prime is 9138042501109. The next prime is 9138042501139. The reversal of 9138042501120 is 211052408319.

9138042501120 is a `hidden beast` number, since 9 + 1 + 380 + 4 + 250 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1369402104 + ... + 1369408776.

It is an arithmetic number, because the mean of its divisors is an integer number (37037656656).

Almost surely, 2^{9138042501120} is an apocalyptic number.

9138042501120 is a gapful number since it is divisible by the number (90) 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 9138042501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778075194880).

9138042501120 is an abundant number, since it is smaller than the sum of its proper divisors (26418107888640).

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

9138042501120 is a wasteful number, since it uses less digits than its factorization.

9138042501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6852 (or 6823 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 9138042501120 its reverse (211052408319), we get a palindrome (9349094909439).

The spelling of 9138042501120 in words is "nine trillion, one hundred thirty-eight billion, forty-two million, five hundred one thousand, one hundred twenty".