4286072061600 has 1296 divisors, whose sum is σ = 17239736461248. Its totient is φ = 920477859840.

The previous prime is 4286072061587. The next prime is 4286072061631. The reversal of 4286072061600 is 61602706824.

It is a super-3 number, since 3×4286072061600³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12141847024 + ... + 12141847376.

It is an arithmetic number, because the mean of its divisors is an integer number (13302265788).

Almost surely, 2^{4286072061600} is an apocalyptic number.

4286072061600 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 4286072061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8619868230624).

4286072061600 is an abundant number, since it is smaller than the sum of its proper divisors (12953664399648).

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

4286072061600 is a wasteful number, since it uses less digits than its factorization.

4286072061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 4286072061600 in words is "four trillion, two hundred eighty-six billion, seventy-two million, sixty-one thousand, six hundred".