4187340751440 has 320 divisors, whose sum is σ = 16186646845440. Its totient is φ = 869943736320.

The previous prime is 4187340751417. The next prime is 4187340751453. The reversal of 4187340751440 is 441570437814.

It is a happy number.

4187340751440 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4187340751440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126922627 + ... + 126955613.

It is an arithmetic number, because the mean of its divisors is an integer number (50583271392).

Almost surely, 2^{4187340751440} is an apocalyptic number.

4187340751440 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 4187340751440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093323422720).

4187340751440 is an abundant number, since it is smaller than the sum of its proper divisors (11999306094000).

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

4187340751440 is a wasteful number, since it uses less digits than its factorization.

4187340751440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39890 (or 39884 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 4187340751440 in words is "four trillion, one hundred eighty-seven billion, three hundred forty million, seven hundred fifty-one thousand, four hundred forty".