4284407147536 has 40 divisors (see below), whose sum is σ = 8662165585920. Its totient is φ = 2049014136576.

The previous prime is 4284407147533. The next prime is 4284407147543. The reversal of 4284407147536 is 6357417044824.

It is a happy number.

It is a super-2 number, since 2×4284407147536² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4284407147533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18073585 + ... + 18309103.

It is an arithmetic number, because the mean of its divisors is an integer number (216554139648).

Almost surely, 2^{4284407147536} is an apocalyptic number.

4284407147536 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4284407147536 is an abundant number, since it is smaller than the sum of its proper divisors (4377758438384).

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

4284407147536 is a wasteful number, since it uses less digits than its factorization.

4284407147536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284983 (or 284977 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 55.

The spelling of 4284407147536 in words is "four trillion, two hundred eighty-four billion, four hundred seven million, one hundred forty-seven thousand, five hundred thirty-six".