20133211031440 has 320 divisors, whose sum is σ = 51201842872320. Its totient is φ = 7318221281280.

The previous prime is 20133211031431. The next prime is 20133211031447. The reversal of 20133211031440 is 4413011233102.

It is not an unprimeable number, because it can be changed into a prime (20133211031447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13799321431 + ... + 13799322889.

It is an arithmetic number, because the mean of its divisors is an integer number (160005758976).

Almost surely, 2^{20133211031440} is an apocalyptic number.

20133211031440 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 20133211031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25600921436160).

20133211031440 is an abundant number, since it is smaller than the sum of its proper divisors (31068631840880).

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

20133211031440 is a wasteful number, since it uses less digits than its factorization.

20133211031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 20133211031440 its reverse (4413011233102), we get a palindrome (24546222264542).

The spelling of 20133211031440 in words is "twenty trillion, one hundred thirty-three billion, two hundred eleven million, thirty-one thousand, four hundred forty".