2041231933440 has 1920 divisors, whose sum is σ = 8830172268720. Its totient is φ = 449474199552.

The previous prime is 2041231933439. The next prime is 2041231933501. The reversal of 2041231933440 is 443391321402.

2041231933440 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 2 + 319 + 334 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 2041231933395 and 2041231933404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27962081244 + ... + 27962081316.

Almost surely, 2^{2041231933440} is an apocalyptic number.

2041231933440 is a gapful number since it is divisible by the number (20) 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 2041231933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415086134360).

2041231933440 is an abundant number, since it is smaller than the sum of its proper divisors (6788940335280).

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

2041231933440 is an frugal number, since it uses more digits than its factorization.

2041231933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2041231933440 in words is "two trillion, forty-one billion, two hundred thirty-one million, nine hundred thirty-three thousand, four hundred forty".