4233887078400 has 864 divisors, whose sum is σ = 17383442076000. Its totient is φ = 964716134400.

The previous prime is 4233887078383. The next prime is 4233887078423. The reversal of 4233887078400 is 48707883324.

4233887078400 is a `hidden beast` number, since 4 + 23 + 3 + 88 + 70 + 78 + 400 = 666.

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, 1125732520 + ... + 1125736280.

It is an arithmetic number, because the mean of its divisors is an integer number (20119724625).

Almost surely, 2^{4233887078400} is an apocalyptic number.

4233887078400 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 4233887078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8691721038000).

4233887078400 is an abundant number, since it is smaller than the sum of its proper divisors (13149554997600).

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

4233887078400 is a wasteful number, since it uses less digits than its factorization.

4233887078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 4233887078400 in words is "four trillion, two hundred thirty-three billion, eight hundred eighty-seven million, seventy-eight thousand, four hundred".