4071668074240 has 288 divisors, whose sum is σ = 11162220685056. Its totient is φ = 1409702952960.

The previous prime is 4071668074231. The next prime is 4071668074241. The reversal of 4071668074240 is 424708661704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4071668074241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76633924 + ... + 76687036.

It is an arithmetic number, because the mean of its divisors is an integer number (38757710712).

Almost surely, 2^{4071668074240} is an apocalyptic number.

4071668074240 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 4071668074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581110342528).

4071668074240 is an abundant number, since it is smaller than the sum of its proper divisors (7090552610816).

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

4071668074240 is a wasteful number, since it uses less digits than its factorization.

4071668074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53435 (or 53421 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

The spelling of 4071668074240 in words is "four trillion, seventy-one billion, six hundred sixty-eight million, seventy-four thousand, two hundred forty".