20040121033440 has 192 divisors, whose sum is σ = 64846200222720. Its totient is φ = 5199165378560.

The previous prime is 20040121033393. The next prime is 20040121033571. The reversal of 20040121033440 is 4433012104002.

It is a super-3 number, since 3×20040121033440³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20040121033440.

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, 5646877 + ... + 8483363.

It is an arithmetic number, because the mean of its divisors is an integer number (337740626160).

Almost surely, 2^{20040121033440} is an apocalyptic number.

20040121033440 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 20040121033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32423100111360).

20040121033440 is an abundant number, since it is smaller than the sum of its proper divisors (44806079189280).

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

20040121033440 is a wasteful number, since it uses less digits than its factorization.

20040121033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836905 (or 2836897 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20040121033440 its reverse (4433012104002), we get a palindrome (24473133137442).

The spelling of 20040121033440 in words is "twenty trillion, forty billion, one hundred twenty-one million, thirty-three thousand, four hundred forty".