4133734821216 has 432 divisors, whose sum is σ = 15902934177312. Its totient is φ = 991104491520.

The previous prime is 4133734821169. The next prime is 4133734821241. The reversal of 4133734821216 is 6121284373314.

It is a happy number.

4133734821216 is a `hidden beast` number, since 4 + 1 + 3 + 373 + 48 + 21 + 216 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2519400 + ... + 3822936.

Almost surely, 2^{4133734821216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4133734821216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7951467088656).

4133734821216 is an abundant number, since it is smaller than the sum of its proper divisors (11769199356096).

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

4133734821216 is a wasteful number, since it uses less digits than its factorization.

4133734821216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303595 (or 1303573 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 4133734821216 in words is "four trillion, one hundred thirty-three billion, seven hundred thirty-four million, eight hundred twenty-one thousand, two hundred sixteen".