4034106240 has 128 divisors (see below), whose sum is σ = 12984192000. Its totient is φ = 1065265152.

The previous prime is 4034106227. The next prime is 4034106253. The reversal of 4034106240 is 426014304.

It is an interprime number because it is at equal distance from previous prime (4034106227) and next prime (4034106253).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4034106240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187561 + ... + 207959.

It is an arithmetic number, because the mean of its divisors is an integer number (101439000).

Almost surely, 2^4034106240 is an apocalyptic number.

4034106240 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 4034106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492096000).

4034106240 is an abundant number, since it is smaller than the sum of its proper divisors (8950085760).

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

4034106240 is a wasteful number, since it uses less digits than its factorization.

4034106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20524 (or 20512 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4034106240 is about 63514.6143812587. The cubic root of 4034106240 is about 1591.8999794067.

The spelling of 4034106240 in words is "four billion, thirty-four million, one hundred six thousand, two hundred forty".