21364117540400 has 240 divisors, whose sum is σ = 53226449717760. Its totient is φ = 8234951961600.

The previous prime is 21364117540361. The next prime is 21364117540417. The reversal of 21364117540400 is 404571146312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2028683135 + ... + 2028693665.

It is an arithmetic number, because the mean of its divisors is an integer number (221776873824).

Almost surely, 2^{21364117540400} is an apocalyptic number.

21364117540400 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 21364117540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26613224858880).

21364117540400 is an abundant number, since it is smaller than the sum of its proper divisors (31862332177360).

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

21364117540400 is a wasteful number, since it uses less digits than its factorization.

21364117540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12164 (or 12153 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

Adding to 21364117540400 its reverse (404571146312), we get a palindrome (21768688686712).

The spelling of 21364117540400 in words is "twenty-one trillion, three hundred sixty-four billion, one hundred seventeen million, five hundred forty thousand, four hundred".