4293275751072 has 1152 divisors, whose sum is σ = 16531721256960. Its totient is φ = 1022737121280.

The previous prime is 4293275751067. The next prime is 4293275751113. The reversal of 4293275751072 is 2701575723924.

4293275751072 is a `hidden beast` number, since 4 + 2 + 9 + 3 + 2 + 7 + 57 + 510 + 72 = 666.

4293275751072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5971175929 + ... + 5971176647.

It is an arithmetic number, because the mean of its divisors is an integer number (14350452480).

Almost surely, 2^{4293275751072} is an apocalyptic number.

4293275751072 is a gapful number since it is divisible by the number (42) 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 4293275751072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8265860628480).

4293275751072 is an abundant number, since it is smaller than the sum of its proper divisors (12238445505888).

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

4293275751072 is a wasteful number, since it uses less digits than its factorization.

4293275751072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 4293275751072 in words is "four trillion, two hundred ninety-three billion, two hundred seventy-five million, seven hundred fifty-one thousand, seventy-two".