4001343720 has 256 divisors, whose sum is σ = 13936147200. Its totient is φ = 911482880.

The previous prime is 4001343719. The next prime is 4001343761. The reversal of 4001343720 is 273431004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6484852 + ... + 6485468.

It is an arithmetic number, because the mean of its divisors is an integer number (54438075).

Almost surely, 2^4001343720 is an apocalyptic number.

4001343720 is a gapful number since it is divisible by the number (40) 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 4001343720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968073600).

4001343720 is an abundant number, since it is smaller than the sum of its proper divisors (9934803480).

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

4001343720 is a wasteful number, since it uses less digits than its factorization.

4001343720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 4001343720 is about 63256.1753507118. The cubic root of 4001343720 is about 1587.5787839463.

Adding to 4001343720 its reverse (273431004), we get a palindrome (4274774724).

The spelling of 4001343720 in words is "four billion, one million, three hundred forty-three thousand, seven hundred twenty".