4007334067008 has 224 divisors, whose sum is σ = 11087384561280. Its totient is φ = 1276488744960.

The previous prime is 4007334067007. The next prime is 4007334067019. The reversal of 4007334067008 is 8007604337004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007334067007) 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, 60646468 + ... + 60712508.

Almost surely, 2^{4007334067008} is an apocalyptic number.

4007334067008 is a gapful number since it is divisible by the number (48) 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 4007334067008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543692280640).

4007334067008 is an abundant number, since it is smaller than the sum of its proper divisors (7080050494272).

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

4007334067008 is a wasteful number, since it uses less digits than its factorization.

4007334067008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66265 (or 66255 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 4007334067008 in words is "four trillion, seven billion, three hundred thirty-four million, sixty-seven thousand, eight".