4328137981440 has 3200 divisors, whose sum is σ = 20229905203200. Its totient is φ = 877879296000.

The previous prime is 4328137981429. The next prime is 4328137981469. The reversal of 4328137981440 is 441897318234.

4328137981440 is a `hidden beast` number, since 4 + 3 + 2 + 81 + 37 + 98 + 1 + 440 = 666.

4328137981440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 28663165365 + ... + 28663165515.

It is an arithmetic number, because the mean of its divisors is an integer number (6321845376).

Almost surely, 2^{4328137981440} is an apocalyptic number.

4328137981440 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 4328137981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114952601600).

4328137981440 is an abundant number, since it is smaller than the sum of its proper divisors (15901767221760).

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

4328137981440 is a wasteful number, since it uses less digits than its factorization.

4328137981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4328137981440 in words is "four trillion, three hundred twenty-eight billion, one hundred thirty-seven million, nine hundred eighty-one thousand, four hundred forty".