4129690320 has 480 divisors, whose sum is σ = 16944415488. Its totient is φ = 879869952.

The previous prime is 4129690291. The next prime is 4129690339. The reversal of 4129690320 is 230969214.

4129690320 is a `hidden beast` number, since 41 + 296 + 9 + 0 + 320 = 666.

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 95 ways as a sum of consecutive naturals, for example, 13451607 + ... + 13451913.

Almost surely, 2^4129690320 is an apocalyptic number.

4129690320 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 4129690320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472207744).

4129690320 is an abundant number, since it is smaller than the sum of its proper divisors (12814725168).

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

4129690320 is a wasteful number, since it uses less digits than its factorization.

4129690320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4129690320 is about 64262.6666113382. Note that the first 4 decimals coincide. The cubic root of 4129690320 is about 1604.3747877845.

The spelling of 4129690320 in words is "four billion, one hundred twenty-nine million, six hundred ninety thousand, three hundred twenty".