1155038018040 has 192 divisors, whose sum is σ = 3829055068800. Its totient is φ = 301873017600.

The previous prime is 1155038018023. The next prime is 1155038018041. The reversal of 1155038018040 is 408108305511.

1155038018040 is a `hidden beast` number, since 1 + 15 + 50 + 380 + 180 + 40 = 666.

It is a super-2 number, since 2×1155038018040² (a number of 25 digits) contains 22 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 = 1155038017986 and 1155038018004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155038018041) 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, 6948295 + ... + 7112585.

It is an arithmetic number, because the mean of its divisors is an integer number (19942995150).

Almost surely, 2^{1155038018040} is an apocalyptic number.

1155038018040 is a gapful number since it is divisible by the number (10) 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 1155038018040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914527534400).

1155038018040 is an abundant number, since it is smaller than the sum of its proper divisors (2674017050760).

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

1155038018040 is a wasteful number, since it uses less digits than its factorization.

1155038018040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164698 (or 164691 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 1155038018040 in words is "one trillion, one hundred fifty-five billion, thirty-eight million, eighteen thousand, forty".