4129674240 has 352 divisors, whose sum is σ = 13960212480. Its totient is φ = 1040449536.

The previous prime is 4129674239. The next prime is 4129674251. The reversal of 4129674240 is 424769214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32517057 + ... + 32517183.

Almost surely, 2^4129674240 is an apocalyptic number.

4129674240 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 4129674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980106240).

4129674240 is an abundant number, since it is smaller than the sum of its proper divisors (9830538240).

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

4129674240 is a wasteful number, since it uses less digits than its factorization.

4129674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4129674240 is about 64262.5414996948. The cubic root of 4129674240 is about 1604.3727054346.

The spelling of 4129674240 in words is "four billion, one hundred twenty-nine million, six hundred seventy-four thousand, two hundred forty".