21143514414000 has 1280 divisors, whose sum is σ = 80535706527744. Its totient is φ = 4715200512000.

The previous prime is 21143514413977. The next prime is 21143514414037. The reversal of 21143514414000 is 41441534112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10298836974 + ... + 10298839026.

Almost surely, 2^{21143514414000} is an apocalyptic number.

21143514414000 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 21143514414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40267853263872).

21143514414000 is an abundant number, since it is smaller than the sum of its proper divisors (59392192113744).

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

21143514414000 is a wasteful number, since it uses less digits than its factorization.

21143514414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 21143514414000 its reverse (41441534112), we get a palindrome (21184955948112).

The spelling of 21143514414000 in words is "twenty-one trillion, one hundred forty-three billion, five hundred fourteen million, four hundred fourteen thousand".