4328989187040 has 288 divisors, whose sum is σ = 17771640606720. Its totient is φ = 937405135872.

The previous prime is 4328989187011. The next prime is 4328989187041. The reversal of 4328989187040 is 407819898234.

4328989187040 is a `hidden beast` number, since 4 + 328 + 98 + 9 + 187 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4328989187041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11110144 + ... + 11493183.

It is an arithmetic number, because the mean of its divisors is an integer number (61707085440).

Almost surely, 2^{4328989187040} is an apocalyptic number.

4328989187040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4328989187040 is an abundant number, since it is smaller than the sum of its proper divisors (13442651419680).

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

4328989187040 is a wasteful number, since it uses less digits than its factorization.

4328989187040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22603374 (or 22603363 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 4328989187040 in words is "four trillion, three hundred twenty-eight billion, nine hundred eighty-nine million, one hundred eighty-seven thousand, forty".