4115148987888 has 120 divisors (see below), whose sum is σ = 11588382514800. Its totient is φ = 1363203072000.

The previous prime is 4115148987877. The next prime is 4115148987907. The reversal of 4115148987888 is 8887898415114.

4115148987888 is a `hidden beast` number, since 4 + 11 + 51 + 489 + 8 + 7 + 8 + 88 = 666.

It is a Cunningham number, because it is equal to 2028583²-1.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16101870 + ... + 16355442.

It is an arithmetic number, because the mean of its divisors is an integer number (96569854290).

Almost surely, 2^{4115148987888} is an apocalyptic number.

4115148987888 is a gapful number since it is divisible by the number (48) 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 4115148987888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794191257400).

4115148987888 is an abundant number, since it is smaller than the sum of its proper divisors (7473233526912).

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

4115148987888 is a wasteful number, since it uses less digits than its factorization.

4115148987888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254287 (or 254278 counting only the distinct ones).

The product of its digits is 165150720, while the sum is 72.

The spelling of 4115148987888 in words is "four trillion, one hundred fifteen billion, one hundred forty-eight million, nine hundred eighty-seven thousand, eight hundred eighty-eight".