4006743408 has 240 divisors, whose sum is σ = 12425038080. Its totient is φ = 1246275072.

The previous prime is 4006743319. The next prime is 4006743437. The reversal of 4006743408 is 8043476004.

4006743408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4006743408³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5392285 + ... + 5393027.

It is an arithmetic number, because the mean of its divisors is an integer number (51770992).

Almost surely, 2^4006743408 is an apocalyptic number.

4006743408 is a gapful number since it is divisible by the number (48) 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 4006743408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212519040).

4006743408 is an abundant number, since it is smaller than the sum of its proper divisors (8418294672).

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

4006743408 is a wasteful number, since it uses less digits than its factorization.

4006743408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4006743408 is about 63298.8420747173. The cubic root of 4006743408 is about 1588.2925922335.

The spelling of 4006743408 in words is "four billion, six million, seven hundred forty-three thousand, four hundred eight".