20141039760000 has 320 divisors, whose sum is σ = 69009724819200. Its totient is φ = 5197685760000.

The previous prime is 20141039759999. The next prime is 20141039760007. The reversal of 20141039760000 is 6793014102.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×20141039760000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20141039760007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6086436 + ... + 8793564.

It is an arithmetic number, because the mean of its divisors is an integer number (215655390060).

Almost surely, 2^{20141039760000} is an apocalyptic number.

20141039760000 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 20141039760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34504862409600).

20141039760000 is an abundant number, since it is smaller than the sum of its proper divisors (48868685059200).

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

20141039760000 is an equidigital number, since it uses as much as digits as its factorization.

20141039760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707197 (or 2707170 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 20141039760000 in words is "twenty trillion, one hundred forty-one billion, thirty-nine million, seven hundred sixty thousand".