21430000442400 has 144 divisors (see below), whose sum is σ = 76095983482848. Its totient is φ = 5195151616000.

The previous prime is 21430000442399. The next prime is 21430000442419. The reversal of 21430000442400 is 424400003412.

It is a happy number.

It is a super-2 number, since 2×21430000442400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405844821 + ... + 405897620.

It is an arithmetic number, because the mean of its divisors is an integer number (528444329742).

Almost surely, 2^{21430000442400} is an apocalyptic number.

21430000442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21430000442400 is an abundant number, since it is smaller than the sum of its proper divisors (54665983040448).

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

21430000442400 is a wasteful number, since it uses less digits than its factorization.

21430000442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811742475 (or 811742462 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21430000442400 its reverse (424400003412), we get a palindrome (21854400445812).

The spelling of 21430000442400 in words is "twenty-one trillion, four hundred thirty billion, four hundred forty-two thousand, four hundred".