11405983748040 has 512 divisors, whose sum is σ = 44070861542400. Its totient is φ = 2570122690560.

The previous prime is 11405983748021. The next prime is 11405983748051. The reversal of 11405983748040 is 4084738950411.

11405983748040 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 98 + 37 + 480 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188432980 + ... + 188493500.

It is an arithmetic number, because the mean of its divisors is an integer number (86075901450).

Almost surely, 2^{11405983748040} is an apocalyptic number.

11405983748040 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 11405983748040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22035430771200).

11405983748040 is an abundant number, since it is smaller than the sum of its proper divisors (32664877794360).

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

11405983748040 is a wasteful number, since it uses less digits than its factorization.

11405983748040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60902 (or 60892 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 11405983748040 in words is "eleven trillion, four hundred five billion, nine hundred eighty-three million, seven hundred forty-eight thousand, forty".