4869402835200 has 432 divisors, whose sum is σ = 16458439092480. Its totient is φ = 1267178250240.

The previous prime is 4869402835189. The next prime is 4869402835211. The reversal of 4869402835200 is 25382049684.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4869402835189) and next prime (4869402835211).

It is a super-2 number, since 2×4869402835200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1336644579 + ... + 1336648221.

It is an arithmetic number, because the mean of its divisors is an integer number (38098238640).

Almost surely, 2^{4869402835200} is an apocalyptic number.

4869402835200 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 4869402835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229219546240).

4869402835200 is an abundant number, since it is smaller than the sum of its proper divisors (11589036257280).

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

4869402835200 is a wasteful number, since it uses less digits than its factorization.

4869402835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 4869402835200 in words is "four trillion, eight hundred sixty-nine billion, four hundred two million, eight hundred thirty-five thousand, two hundred".