4726273829200 has 480 divisors, whose sum is σ = 14999999724288. Its totient is φ = 1385496576000.

The previous prime is 4726273829197. The next prime is 4726273829227. The reversal of 4726273829200 is 29283726274.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1131497512 + ... + 1131501688.

Almost surely, 2^{4726273829200} is an apocalyptic number.

4726273829200 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 4726273829200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499999862144).

4726273829200 is an abundant number, since it is smaller than the sum of its proper divisors (10273725895088).

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

4726273829200 is a wasteful number, since it uses less digits than its factorization.

4726273829200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 4726273829200 in words is "four trillion, seven hundred twenty-six billion, two hundred seventy-three million, eight hundred twenty-nine thousand, two hundred".