21408203610000 has 1125 divisors, whose sum is σ = 79737559634271. Its totient is φ = 5543396352000.

The previous prime is 21408203609959. The next prime is 21408203610011. The reversal of 21408203610000 is 1630280412.

The square root of 21408203610000 is 4626900.

It is a perfect power (a square), and thus also a powerful number.

21408203610000 is a `hidden beast` number, since 2 + 1 + 40 + 8 + 2 + 0 + 3 + 610 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 21168354424464 + 239849185536 = 4600908^2 + 489744^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a super-2 number, since 2×21408203610000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 220703129952 + ... + 220703130048.

Almost surely, 2^{21408203610000} is an apocalyptic number.

21408203610000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21408203610000 is the 4626900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21408203610000

21408203610000 is an abundant number, since it is smaller than the sum of its proper divisors (58329356024271).

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

21408203610000 is an frugal number, since it uses more digits than its factorization.

21408203610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21408203610000 its reverse (1630280412), we get a palindrome (21409833890412).

The spelling of 21408203610000 in words is "twenty-one trillion, four hundred eight billion, two hundred three million, six hundred ten thousand".