11040367460040 has 640 divisors, whose sum is σ = 38510045291520. Its totient is φ = 2835050803200.

The previous prime is 11040367460021. The next prime is 11040367460071. The reversal of 11040367460040 is 4006476304011.

11040367460040 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 0 + 3 + 6 + 7 + 4 + 600 + 40 = 666.

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 = 11040367459977 and 11040367460004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8357582580 + ... + 8357583900.

It is an arithmetic number, because the mean of its divisors is an integer number (60171945768).

Almost surely, 2^{11040367460040} is an apocalyptic number.

11040367460040 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 11040367460040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19255022645760).

11040367460040 is an abundant number, since it is smaller than the sum of its proper divisors (27469677831480).

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

11040367460040 is a wasteful number, since it uses less digits than its factorization.

11040367460040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 11040367460040 in words is "eleven trillion, forty billion, three hundred sixty-seven million, four hundred sixty thousand, forty".