20140975033632 has 288 divisors, whose sum is σ = 59486340513600. Its totient is φ = 6459468374016.

The previous prime is 20140975033591. The next prime is 20140975033637. The reversal of 20140975033632 is 23633057904102.

20140975033632 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 0 + 9 + 7 + 5 + 0 + 3 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20140975033632² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20140975033637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731348119 + ... + 731375657.

It is an arithmetic number, because the mean of its divisors is an integer number (206549793450).

Almost surely, 2^{20140975033632} 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 20140975033632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29743170256800).

20140975033632 is an abundant number, since it is smaller than the sum of its proper divisors (39345365479968).

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

20140975033632 is a wasteful number, since it uses less digits than its factorization.

20140975033632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28480 (or 28469 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 20140975033632 in words is "twenty trillion, one hundred forty billion, nine hundred seventy-five million, thirty-three thousand, six hundred thirty-two".