11754029138040 has 576 divisors, whose sum is σ = 46190419853760. Its totient is φ = 2635922165760.

The previous prime is 11754029137901. The next prime is 11754029138099. The reversal of 11754029138040 is 4083192045711.

11754029138040 is a `hidden beast` number, since 1 + 1 + 7 + 540 + 29 + 1 + 3 + 80 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97304880 + ... + 97425600.

It is an arithmetic number, because the mean of its divisors is an integer number (80191701135).

Almost surely, 2^{11754029138040} is an apocalyptic number.

11754029138040 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 11754029138040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23095209926880).

11754029138040 is an abundant number, since it is smaller than the sum of its proper divisors (34436390715720).

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

11754029138040 is an equidigital number, since it uses as much as digits as its factorization.

11754029138040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120816 (or 120791 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11754029138040 in words is "eleven trillion, seven hundred fifty-four billion, twenty-nine million, one hundred thirty-eight thousand, forty".