216407262240 has 288 divisors, whose sum is σ = 795832128000. Its totient is φ = 53233625088.

The previous prime is 216407262221. The next prime is 216407262259. The reversal of 216407262240 is 42262704612.

216407262240 is a `hidden beast` number, since 2 + 1 + 6 + 407 + 2 + 6 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (216407262221) and next prime (216407262259).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216407262195 and 216407262204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37418389 + ... + 37424171.

It is an arithmetic number, because the mean of its divisors is an integer number (2763306000).

Almost surely, 2^216407262240 is an apocalyptic number.

216407262240 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 216407262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397916064000).

216407262240 is an abundant number, since it is smaller than the sum of its proper divisors (579424865760).

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

216407262240 is a wasteful number, since it uses less digits than its factorization.

216407262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 216407262240 its reverse (42262704612), we get a palindrome (258669966852).

The spelling of 216407262240 in words is "two hundred sixteen billion, four hundred seven million, two hundred sixty-two thousand, two hundred forty".