4133455320000 has 560 divisors, whose sum is σ = 14420551946240. Its totient is φ = 1041693696000.

The previous prime is 4133455319993. The next prime is 4133455320011. The reversal of 4133455320000 is 235543314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4133455320000.

It is a congruent number.

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, 1041958017 + ... + 1041961983.

Almost surely, 2^{4133455320000} is an apocalyptic number.

4133455320000 is a gapful number since it is divisible by the number (40) 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 4133455320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210275973120).

4133455320000 is an abundant number, since it is smaller than the sum of its proper divisors (10287096626240).

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

4133455320000 is a wasteful number, since it uses less digits than its factorization.

4133455320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 4133455320000 in words is "four trillion, one hundred thirty-three billion, four hundred fifty-five million, three hundred twenty thousand".