4233808550400 has 1440 divisors, whose sum is σ = 16687277088768. Its totient is φ = 937952870400.

The previous prime is 4233808550357. The next prime is 4233808550429. The reversal of 4233808550400 is 40558083324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9065970967 + ... + 9065971433.

Almost surely, 2^{4233808550400} is an apocalyptic number.

4233808550400 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 4233808550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8343638544384).

4233808550400 is an abundant number, since it is smaller than the sum of its proper divisors (12453468538368).

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

4233808550400 is a wasteful number, since it uses less digits than its factorization.

4233808550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 4233808550400 in words is "four trillion, two hundred thirty-three billion, eight hundred eight million, five hundred fifty thousand, four hundred".