4234393893240 has 384 divisors, whose sum is σ = 16657393858560. Its totient is φ = 910683205632.

The previous prime is 4234393893217. The next prime is 4234393893251. The reversal of 4234393893240 is 423983934324.

4234393893240 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 393 + 8 + 9 + 3 + 240 = 666.

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, 191183847 + ... + 191205993.

It is an arithmetic number, because the mean of its divisors is an integer number (43378629840).

Almost surely, 2^{4234393893240} is an apocalyptic number.

4234393893240 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 4234393893240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328696929280).

4234393893240 is an abundant number, since it is smaller than the sum of its proper divisors (12422999965320).

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

4234393893240 is a wasteful number, since it uses less digits than its factorization.

4234393893240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26651 (or 26644 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 4234393893240 in words is "four trillion, two hundred thirty-four billion, three hundred ninety-three million, eight hundred ninety-three thousand, two hundred forty".