21040114202400 has 288 divisors, whose sum is σ = 71032964724288. Its totient is φ = 5405004288000.

The previous prime is 21040114202293. The next prime is 21040114202449. The reversal of 21040114202400 is 420241104012.

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 47 ways as a sum of consecutive naturals, for example, 7795839 + ... + 10141761.

It is an arithmetic number, because the mean of its divisors is an integer number (246642238626).

Almost surely, 2^{21040114202400} is an apocalyptic number.

21040114202400 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 21040114202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35516482362144).

21040114202400 is an abundant number, since it is smaller than the sum of its proper divisors (49992850521888).

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

21040114202400 is a wasteful number, since it uses less digits than its factorization.

21040114202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346084 (or 2346071 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 21040114202400 its reverse (420241104012), we get a palindrome (21460355306412).

The spelling of 21040114202400 in words is "twenty-one trillion, forty billion, one hundred fourteen million, two hundred two thousand, four hundred".