4129367040 has 264 divisors, whose sum is σ = 14842551360. Its totient is φ = 1100832768.

The previous prime is 4129367003. The next prime is 4129367041. The reversal of 4129367040 is 407639214.

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

It is a junction number, because it is equal to n+sod(n) for n = 4129366986 and 4129367004.

It is not an unprimeable number, because it can be changed into a prime (4129367041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242501 + ... + 1245819.

Almost surely, 2^4129367040 is an apocalyptic number.

4129367040 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 4129367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7421275680).

4129367040 is an abundant number, since it is smaller than the sum of its proper divisors (10713184320).

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

4129367040 is an equidigital number, since it uses as much as digits as its factorization.

4129367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4129367040 is about 64260.1512603262. The cubic root of 4129367040 is about 1604.3329221904.

The spelling of 4129367040 in words is "four billion, one hundred twenty-nine million, three hundred sixty-seven thousand, forty".