4807008998400 has 3168 divisors, whose sum is σ = 21390365786112. Its totient is φ = 927911116800.

The previous prime is 4807008998357. The next prime is 4807008998453. The reversal of 4807008998400 is 48998007084.

It is a super-3 number, since 3×4807008998400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 102276787177 + ... + 102276787223.

Almost surely, 2^{4807008998400} is an apocalyptic number.

4807008998400 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 4807008998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10695182893056).

4807008998400 is an abundant number, since it is smaller than the sum of its proper divisors (16583356787712).

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

4807008998400 is a wasteful number, since it uses less digits than its factorization.

4807008998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 4807008998400 in words is "four trillion, eight hundred seven billion, eight million, nine hundred ninety-eight thousand, four hundred".