216954239040 has 2016 divisors, whose sum is σ = 1025329643520. Its totient is φ = 41057280000.

The previous prime is 216954239027. The next prime is 216954239107. The reversal of 216954239040 is 40932459612.

216954239040 is a `hidden beast` number, since 2 + 1 + 69 + 542 + 3 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 1436782965 + ... + 1436783115.

Almost surely, 2^216954239040 is an apocalyptic number.

216954239040 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 216954239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512664821760).

216954239040 is an abundant number, since it is smaller than the sum of its proper divisors (808375404480).

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

216954239040 is a wasteful number, since it uses less digits than its factorization.

216954239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 216954239040 in words is "two hundred sixteen billion, nine hundred fifty-four million, two hundred thirty-nine thousand, forty".