4802253350400 has 3600 divisors, whose sum is σ = 21713685092352. Its totient is φ = 1037795328000.

The previous prime is 4802253350359. The next prime is 4802253350423. The reversal of 4802253350400 is 40533522084.

4802253350400 is a `hidden beast` number, since 4 + 80 + 2 + 2 + 533 + 5 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 102175603177 + ... + 102175603223.

Almost surely, 2^{4802253350400} is an apocalyptic number.

4802253350400 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 4802253350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856842546176).

4802253350400 is an abundant number, since it is smaller than the sum of its proper divisors (16911431741952).

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

4802253350400 is a wasteful number, since it uses less digits than its factorization.

4802253350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 4802253350400 its reverse (40533522084), we get a palindrome (4842786872484).

The spelling of 4802253350400 in words is "four trillion, eight hundred two billion, two hundred fifty-three million, three hundred fifty thousand, four hundred".