21142510400000 has 480 divisors, whose sum is σ = 59160011891904. Its totient is φ = 7480166400000.

The previous prime is 21142510399999. The next prime is 21142510400003. The reversal of 21142510400000 is 401524112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21142510400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651183767 + ... + 651216233.

Almost surely, 2^{21142510400000} is an apocalyptic number.

21142510400000 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 21142510400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29580005945952).

21142510400000 is an abundant number, since it is smaller than the sum of its proper divisors (38017501491904).

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

21142510400000 is an frugal number, since it uses more digits than its factorization.

21142510400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32558 (or 32522 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 21142510400000 its reverse (401524112), we get a palindrome (21142911924112).

The spelling of 21142510400000 in words is "twenty-one trillion, one hundred forty-two billion, five hundred ten million, four hundred thousand".