4187307478144 has 192 divisors, whose sum is σ = 9852542075520. Its totient is φ = 1767123456000.

The previous prime is 4187307478139. The next prime is 4187307478157. The reversal of 4187307478144 is 4418747037814.

It is a super-3 number, since 3×4187307478144³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394986444 + ... + 394997044.

It is an arithmetic number, because the mean of its divisors is an integer number (51315323310).

Almost surely, 2^{4187307478144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4187307478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926271037760).

4187307478144 is an abundant number, since it is smaller than the sum of its proper divisors (5665234597376).

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

4187307478144 is a wasteful number, since it uses less digits than its factorization.

4187307478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11587 (or 11568 counting only the distinct ones).

The product of its (nonzero) digits is 16859136, while the sum is 58.

The spelling of 4187307478144 in words is "four trillion, one hundred eighty-seven billion, three hundred seven million, four hundred seventy-eight thousand, one hundred forty-four".