2040041214432 has 192 divisors, whose sum is σ = 6424308072000. Its totient is φ = 626090010624.

The previous prime is 2040041214413. The next prime is 2040041214433. The reversal of 2040041214432 is 2344121400402.

2040041214432 is a `hidden beast` number, since 2 + 0 + 400 + 4 + 1 + 214 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2040041214396 and 2040041214405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040041214433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4135794 + ... + 4602702.

It is an arithmetic number, because the mean of its divisors is an integer number (33459937875).

Almost surely, 2^{2040041214432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040041214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212154036000).

2040041214432 is an abundant number, since it is smaller than the sum of its proper divisors (4384266857568).

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

2040041214432 is a wasteful number, since it uses less digits than its factorization.

2040041214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467330 (or 467316 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2040041214432 its reverse (2344121400402), we get a palindrome (4384162614834).

The spelling of 2040041214432 in words is "two trillion, forty billion, forty-one million, two hundred fourteen thousand, four hundred thirty-two".