4933285286400 has 720 divisors, whose sum is σ = 18253463932704. Its totient is φ = 1271577968640.

The previous prime is 4933285286381. The next prime is 4933285286509. The reversal of 4933285286400 is 46825823394.

4933285286400 is a `hidden beast` number, since 4 + 9 + 33 + 28 + 528 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×4933285286400³ (a number of 39 digits) contains 333 as substring.

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, 480494067 + ... + 480504333.

Almost surely, 2^{4933285286400} is an apocalyptic number.

4933285286400 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 4933285286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9126731966352).

4933285286400 is an abundant number, since it is smaller than the sum of its proper divisors (13320178646304).

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

4933285286400 is a wasteful number, since it uses less digits than its factorization.

4933285286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10441 (or 10417 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4933285286400 in words is "four trillion, nine hundred thirty-three billion, two hundred eighty-five million, two hundred eighty-six thousand, four hundred".