4281729346755 has 96 divisors (see below), whose sum is σ = 8929758988800. Its totient is φ = 1854043623936.

The previous prime is 4281729346723. The next prime is 4281729346789. The reversal of 4281729346755 is 5576439271824.

It is a happy number.

4281729346755 is a `hidden beast` number, since 4 + 2 + 81 + 7 + 2 + 93 + 467 + 5 + 5 = 666.

It is a Cunningham number, because it is equal to 2069234²-1.

It is not a de Polignac number, because 4281729346755 - 2⁵ = 4281729346723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4281729346692 and 4281729346701.

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, 39261012 + ... + 39369918.

It is an arithmetic number, because the mean of its divisors is an integer number (93018322800).

Almost surely, 2^{4281729346755} is an apocalyptic number.

4281729346755 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4281729346755 is an abundant number, since it is smaller than the sum of its proper divisors (4648029642045).

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

4281729346755 is a wasteful number, since it uses less digits than its factorization.

4281729346755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115513 (or 115510 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 4281729346755 in words is "four trillion, two hundred eighty-one billion, seven hundred twenty-nine million, three hundred forty-six thousand, seven hundred fifty-five".