4129509780 has 432 divisors, whose sum is σ = 15371778240. Its totient is φ = 891095040.

The previous prime is 4129509749. The next prime is 4129509793. The reversal of 4129509780 is 879059214.

4129509780 is a `hidden beast` number, since 41 + 29 + 509 + 7 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7034647 + ... + 7035233.

It is an arithmetic number, because the mean of its divisors is an integer number (35582820).

Almost surely, 2^4129509780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129509780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685889120).

4129509780 is an abundant number, since it is smaller than the sum of its proper divisors (11242268460).

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

4129509780 is a wasteful number, since it uses less digits than its factorization.

4129509780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 4129509780 is about 64261.2618923718. The cubic root of 4129509780 is about 1604.3514076581.

The spelling of 4129509780 in words is "four billion, one hundred twenty-nine million, five hundred nine thousand, seven hundred eighty".