4301989884192 has 1536 divisors, whose sum is σ = 16081188028416. Its totient is φ = 971241062400.

The previous prime is 4301989884151. The next prime is 4301989884239. The reversal of 4301989884192 is 2914889891034.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31401385948 + ... + 31401386084.

It is an arithmetic number, because the mean of its divisors is an integer number (10469523456).

Almost surely, 2^{4301989884192} is an apocalyptic number.

4301989884192 is a gapful number since it is divisible by the number (42) 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 4301989884192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8040594014208).

4301989884192 is an abundant number, since it is smaller than the sum of its proper divisors (11779198144224).

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

4301989884192 is a wasteful number, since it uses less digits than its factorization.

4301989884192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 66.

The spelling of 4301989884192 in words is "four trillion, three hundred one billion, nine hundred eighty-nine million, eight hundred eighty-four thousand, one hundred ninety-two".