11749481533440 has 416 divisors, whose sum is σ = 47738112572160. Its totient is φ = 2685594894336.

The previous prime is 11749481533411. The next prime is 11749481533481. The reversal of 11749481533440 is 4433518494711.

11749481533440 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 9 + 48 + 153 + 3 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2352982 + ... + 5388458.

Almost surely, 2^{11749481533440} is an apocalyptic number.

11749481533440 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 11749481533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23869056286080).

11749481533440 is an abundant number, since it is smaller than the sum of its proper divisors (35988631038720).

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

11749481533440 is an equidigital number, since it uses as much as digits as its factorization.

11749481533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035522 (or 3035494 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 11749481533440 in words is "eleven trillion, seven hundred forty-nine billion, four hundred eighty-one million, five hundred thirty-three thousand, four hundred forty".