4278001617240 has 384 divisors, whose sum is σ = 14063021763840. Its totient is φ = 1034929778688.

The previous prime is 4278001617221. The next prime is 4278001617259. The reversal of 4278001617240 is 427161008724.

It is an interprime number because it is at equal distance from previous prime (4278001617221) and next prime (4278001617259).

It is a junction number, because it is equal to n+sod(n) for n = 4278001617192 and 4278001617201.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2884693539 + ... + 2884695021.

It is an arithmetic number, because the mean of its divisors is an integer number (36622452510).

Almost surely, 2^{4278001617240} is an apocalyptic number.

4278001617240 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 4278001617240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7031510881920).

4278001617240 is an abundant number, since it is smaller than the sum of its proper divisors (9785020146600).

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

4278001617240 is a wasteful number, since it uses less digits than its factorization.

4278001617240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 4278001617240 in words is "four trillion, two hundred seventy-eight billion, one million, six hundred seventeen thousand, two hundred forty".