4235742720000 has 1560 divisors, whose sum is σ = 17324562615360. Its totient is φ = 1025187840000.

The previous prime is 4235742719981. The next prime is 4235742720017. The reversal of 4235742720000 is 272475324.

It is a happy number.

4235742720000 is a `hidden beast` number, since 4 + 23 + 5 + 7 + 427 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6842879691 + ... + 6842880309.

It is an arithmetic number, because the mean of its divisors is an integer number (11105488856).

Almost surely, 2^{4235742720000} is an apocalyptic number.

4235742720000 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 4235742720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8662281307680).

4235742720000 is an abundant number, since it is smaller than the sum of its proper divisors (13088819895360).

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

4235742720000 is an frugal number, since it uses more digits than its factorization.

4235742720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 4235742720000 in words is "four trillion, two hundred thirty-five billion, seven hundred forty-two million, seven hundred twenty thousand".