216074324540400 has 240 divisors, whose sum is σ = 710887141680000. Its totient is φ = 56060786119680.

The previous prime is 216074324540351. The next prime is 216074324540423. The reversal of 216074324540400 is 4045423470612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×216074324540400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2064503271 + ... + 2064607929.

It is an arithmetic number, because the mean of its divisors is an integer number (2962029757000).

Almost surely, 2^{216074324540400} is an apocalyptic number.

216074324540400 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 216074324540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355443570840000).

216074324540400 is an abundant number, since it is smaller than the sum of its proper divisors (494812817139600).

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

216074324540400 is a wasteful number, since it uses less digits than its factorization.

216074324540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151216 (or 151205 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 216074324540400 in words is "two hundred sixteen trillion, seventy-four billion, three hundred twenty-four million, five hundred forty thousand, four hundred".