4001743872 has 704 divisors, whose sum is σ = 15092121600. Its totient is φ = 1021870080.

The previous prime is 4001743861. The next prime is 4001743877. The reversal of 4001743872 is 2783471004.

It is a happy number.

4001743872 is a `hidden beast` number, since 400 + 174 + 3 + 87 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001743877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129088497 + ... + 129088527.

Almost surely, 2^4001743872 is an apocalyptic number.

4001743872 is a gapful number since it is divisible by the number (42) 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 4001743872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546060800).

4001743872 is an abundant number, since it is smaller than the sum of its proper divisors (11090377728).

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

4001743872 is a wasteful number, since it uses less digits than its factorization.

4001743872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4001743872 is about 63259.3382197443. The cubic root of 4001743872 is about 1587.6317038064.

The spelling of 4001743872 in words is "four billion, one million, seven hundred forty-three thousand, eight hundred seventy-two".