4988412000 has 1536 divisors, whose sum is σ = 23775897600. Its totient is φ = 995328000.

The previous prime is 4988411977. The next prime is 4988412029. The reversal of 4988412000 is 2148894.

It is a super-4 number, since 4×4988412000⁴ (a number of 40 digits) contains 4444 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 262547991 + ... + 262548009.

It is an arithmetic number, because the mean of its divisors is an integer number (15479100).

Almost surely, 2^4988412000 is an apocalyptic number.

4988412000 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 4988412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887948800).

4988412000 is an abundant number, since it is smaller than the sum of its proper divisors (18787485600).

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

4988412000 is a wasteful number, since it uses less digits than its factorization.

4988412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4988412000 is about 70628.6910539902. The cubic root of 4988412000 is about 1708.6539114158.

The spelling of 4988412000 in words is "four billion, nine hundred eighty-eight million, four hundred twelve thousand".