4003147014240 has 192 divisors, whose sum is σ = 13757496399360. Its totient is φ = 970373283840.

The previous prime is 4003147014203. The next prime is 4003147014259. The reversal of 4003147014240 is 424107413004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4003147014198 and 4003147014207.

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 31 ways as a sum of consecutive naturals, for example, 74827821 + ... + 74881299.

It is an arithmetic number, because the mean of its divisors is an integer number (71653627080).

Almost surely, 2^{4003147014240} is an apocalyptic number.

4003147014240 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 4003147014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878748199680).

4003147014240 is an abundant number, since it is smaller than the sum of its proper divisors (9754349385120).

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

4003147014240 is a wasteful number, since it uses less digits than its factorization.

4003147014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67685 (or 67677 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 4003147014240 in words is "four trillion, three billion, one hundred forty-seven million, fourteen thousand, two hundred forty".