4232642340960 has 576 divisors, whose sum is σ = 16057880354880. Its totient is φ = 1006589952000.

The previous prime is 4232642340931. The next prime is 4232642340991. The reversal of 4232642340960 is 690432462324.

4232642340960 is a `hidden beast` number, since 4 + 2 + 326 + 4 + 234 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×4232642340960² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 375861730 + ... + 375872990.

It is an arithmetic number, because the mean of its divisors is an integer number (27878264505).

Almost surely, 2^{4232642340960} is an apocalyptic number.

4232642340960 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 4232642340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8028940177440).

4232642340960 is an abundant number, since it is smaller than the sum of its proper divisors (11825238013920).

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

4232642340960 is a wasteful number, since it uses less digits than its factorization.

4232642340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11743 (or 11732 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 4232642340960 in words is "four trillion, two hundred thirty-two billion, six hundred forty-two million, three hundred forty thousand, nine hundred sixty".