216384071040 has 192 divisors, whose sum is σ = 747567241200. Its totient is φ = 57674158080.

The previous prime is 216384071027. The next prime is 216384071053. The reversal of 216384071040 is 40170483612.

216384071040 is a `hidden beast` number, since 2 + 1 + 638 + 4 + 0 + 7 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216384071027) and next prime (216384071053).

It is a tau number, because it is divible by the number of its divisors (192).

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 = 216384070986 and 216384071004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13464610 + ... + 13480670.

Almost surely, 2^216384071040 is an apocalyptic number.

216384071040 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 216384071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373783620600).

216384071040 is an abundant number, since it is smaller than the sum of its proper divisors (531183170160).

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

216384071040 is a wasteful number, since it uses less digits than its factorization.

216384071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18425 (or 18410 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 216384071040 in words is "two hundred sixteen billion, three hundred eighty-four million, seventy-one thousand, forty".