216407400000 has 336 divisors, whose sum is σ = 780761903040. Its totient is φ = 52460800000.

The previous prime is 216407399987. The next prime is 216407400073. The reversal of 216407400000 is 4704612.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6583606 + ... + 6616394.

It is an arithmetic number, because the mean of its divisors is an integer number (2323696140).

Almost surely, 2^216407400000 is an apocalyptic number.

216407400000 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 216407400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390380951520).

216407400000 is an abundant number, since it is smaller than the sum of its proper divisors (564354503040).

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

216407400000 is an equidigital number, since it uses as much as digits as its factorization.

216407400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32840 (or 32810 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 216407400000 in words is "two hundred sixteen billion, four hundred seven million, four hundred thousand".