4000006954416 has 160 divisors (see below), whose sum is σ = 11435368089600. Its totient is φ = 1194755788800.

The previous prime is 4000006954399. The next prime is 4000006954429. The reversal of 4000006954416 is 6144596000004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10613985 + ... + 10984383.

It is an arithmetic number, because the mean of its divisors is an integer number (71471050560).

Almost surely, 2^{4000006954416} 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 4000006954416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717684044800).

4000006954416 is an abundant number, since it is smaller than the sum of its proper divisors (7435361135184).

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

4000006954416 is a wasteful number, since it uses less digits than its factorization.

4000006954416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370715 (or 370709 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 4000006954416 in words is "four trillion, six million, nine hundred fifty-four thousand, four hundred sixteen".