215342040400000 has 768 divisors, whose sum is σ = 585130174272000. Its totient is φ = 78624000000000.

The previous prime is 215342040399883. The next prime is 215342040400073. The reversal of 215342040400000 is 4040243512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165520399350 + ... + 165520400650.

It is an arithmetic number, because the mean of its divisors is an integer number (761888247750).

Almost surely, 2^{215342040400000} is an apocalyptic number.

215342040400000 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 215342040400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292565087136000).

215342040400000 is an abundant number, since it is smaller than the sum of its proper divisors (369788133872000).

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

215342040400000 is an equidigital number, since it uses as much as digits as its factorization.

215342040400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 215342040400000 its reverse (4040243512), we get a palindrome (215346080643512).

The spelling of 215342040400000 in words is "two hundred fifteen trillion, three hundred forty-two billion, forty million, four hundred thousand".