4003383436416 has 1536 divisors, whose sum is σ = 15540124320000. Its totient is φ = 1004293914624.

The previous prime is 4003383436411. The next prime is 4003383436417. The reversal of 4003383436416 is 6146343833004.

It is a super-2 number, since 2×4003383436416² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4003383436411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4660515795 + ... + 4660516653.

Almost surely, 2^{4003383436416} 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 4003383436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770062160000).

4003383436416 is an abundant number, since it is smaller than the sum of its proper divisors (11536740883584).

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

4003383436416 is a wasteful number, since it uses less digits than its factorization.

4003383436416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 4003383436416 in words is "four trillion, three billion, three hundred eighty-three million, four hundred thirty-six thousand, four hundred sixteen".