21414310000 has 100 divisors (see below), whose sum is σ = 52578157104. Its totient is φ = 8444800000.

The previous prime is 21414309991. The next prime is 21414310009. The reversal of 21414310000 is 1341412.

It is an interprime number because it is at equal distance from previous prime (21414309991) and next prime (21414310009).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×21414310000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21414310009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 694920 + ... + 725080.

Almost surely, 2^21414310000 is an apocalyptic number.

21414310000 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 21414310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26289078552).

21414310000 is an abundant number, since it is smaller than the sum of its proper divisors (31163847104).

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

21414310000 is an equidigital number, since it uses as much as digits as its factorization.

21414310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30260 (or 30239 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21414310000 its reverse (1341412), we get a palindrome (21415651412).

The spelling of 21414310000 in words is "twenty-one billion, four hundred fourteen million, three hundred ten thousand".