4887131436000 has 1872 divisors, whose sum is σ = 20839765499280. Its totient is φ = 1122403392000.

The previous prime is 4887131435969. The next prime is 4887131436001. The reversal of 4887131436000 is 6341317884.

4887131436000 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 1 + 31 + 4 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4887131436001) by changing a digit.

It is a polite number, since it can be written in 311 ways as a sum of consecutive naturals, for example, 257217443991 + ... + 257217444009.

It is an arithmetic number, because the mean of its divisors is an integer number (11132353365).

Almost surely, 2^{4887131436000} is an apocalyptic number.

4887131436000 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 4887131436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10419882749640).

4887131436000 is an abundant number, since it is smaller than the sum of its proper divisors (15952634063280).

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

4887131436000 is an frugal number, since it uses more digits than its factorization.

4887131436000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4887131436000 in words is "four trillion, eight hundred eighty-seven billion, one hundred thirty-one million, four hundred thirty-six thousand".