4001941944 has 512 divisors, whose sum is σ = 15173222400. Its totient is φ = 943695360.

The previous prime is 4001941927. The next prime is 4001941949. The reversal of 4001941944 is 4491491004.

4001941944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4001941899 and 4001941908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001941949) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17945817 + ... + 17946039.

It is an arithmetic number, because the mean of its divisors is an integer number (29635200).

Almost surely, 2^4001941944 is an apocalyptic number.

4001941944 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 4001941944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7586611200).

4001941944 is an abundant number, since it is smaller than the sum of its proper divisors (11171280456).

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

4001941944 is a wasteful number, since it uses less digits than its factorization.

4001941944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4001941944 is about 63260.9037557953. The cubic root of 4001941944 is about 1587.6578974034.

The spelling of 4001941944 in words is "four billion, one million, nine hundred forty-one thousand, nine hundred forty-four".