4001409984 has 168 divisors, whose sum is σ = 12533122000. Its totient is φ = 1119191040.

The previous prime is 4001409959. The next prime is 4001409991. The reversal of 4001409984 is 4899041004.

It is a super-2 number, since 2×4001409984² = 32022563720109760512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295392 + ... + 308640.

Almost surely, 2^4001409984 is an apocalyptic number.

4001409984 is a gapful number since it is divisible by the number (44) 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 4001409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266561000).

4001409984 is an abundant number, since it is smaller than the sum of its proper divisors (8531712016).

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

4001409984 is a wasteful number, since it uses less digits than its factorization.

4001409984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13299 (or 13278 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4001409984 is about 63256.6991234921. The cubic root of 4001409984 is about 1587.5875475640.

The spelling of 4001409984 in words is "four billion, one million, four hundred nine thousand, nine hundred eighty-four".