20401184070288 has 1440 divisors, whose sum is σ = 73120904962560. Its totient is φ = 5277391257600.

The previous prime is 20401184070227. The next prime is 20401184070301. The reversal of 20401184070288 is 88207048110402.

20401184070288 is a `hidden beast` number, since 20 + 401 + 1 + 84 + 0 + 70 + 2 + 88 = 666.

It is a super-2 number, since 2×20401184070288² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 79382039056 + ... + 79382039312.

It is an arithmetic number, because the mean of its divisors is an integer number (50778406224).

Almost surely, 2^{20401184070288} is an apocalyptic number.

20401184070288 is a gapful number since it is divisible by the number (28) 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 20401184070288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560452481280).

20401184070288 is an abundant number, since it is smaller than the sum of its proper divisors (52719720892272).

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

20401184070288 is a wasteful number, since it uses less digits than its factorization.

20401184070288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 20401184070288 in words is "twenty trillion, four hundred one billion, one hundred eighty-four million, seventy thousand, two hundred eighty-eight".