3959742440430 has 192 divisors, whose sum is σ = 11883397413888. Its totient is φ = 896092554240.

The previous prime is 3959742440429. The next prime is 3959742440443. The reversal of 3959742440430 is 340442479593.

3959742440430 is a `hidden beast` number, since 3 + 9 + 597 + 4 + 2 + 4 + 4 + 0 + 43 + 0 = 666.

It is a Curzon number.

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, 35680087 + ... + 35790893.

It is an arithmetic number, because the mean of its divisors is an integer number (61892694864).

Almost surely, 2^{3959742440430} is an apocalyptic number.

3959742440430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3959742440430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941698706944).

3959742440430 is an abundant number, since it is smaller than the sum of its proper divisors (7923654973458).

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

3959742440430 is a wasteful number, since it uses less digits than its factorization.

3959742440430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111391 (or 111388 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3959742440430 in words is "three trillion, nine hundred fifty-nine billion, seven hundred forty-two million, four hundred forty thousand, four hundred thirty".