4335691401216 has 960 divisors, whose sum is σ = 15763876128000. Its totient is φ = 1184551796736.

The previous prime is 4335691401179. The next prime is 4335691401259. The reversal of 4335691401216 is 6121041965334.

4335691401216 is a `hidden beast` number, since 4 + 33 + 569 + 1 + 40 + 1 + 2 + 16 = 666.

It is a super-2 number, since 2×4335691401216² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1308688776 + ... + 1308692088.

It is an arithmetic number, because the mean of its divisors is an integer number (16420704300).

Almost surely, 2^{4335691401216} is an apocalyptic number.

4335691401216 is a gapful number since it is divisible by the number (46) 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 4335691401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7881938064000).

4335691401216 is an abundant number, since it is smaller than the sum of its proper divisors (11428184726784).

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

4335691401216 is an equidigital number, since it uses as much as digits as its factorization.

4335691401216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3348 counting only the distinct ones).

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

The spelling of 4335691401216 in words is "four trillion, three hundred thirty-five billion, six hundred ninety-one million, four hundred one thousand, two hundred sixteen".