4133562720768 has 960 divisors, whose sum is σ = 14480206540800. Its totient is φ = 1165787873280.

The previous prime is 4133562720731. The next prime is 4133562720773. The reversal of 4133562720768 is 8670272653314.

It is a happy number.

4133562720768 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 5 + 627 + 2 + 0 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 952651143 + ... + 952655481.

It is an arithmetic number, because the mean of its divisors is an integer number (15083548480).

Almost surely, 2^{4133562720768} is an apocalyptic number.

4133562720768 is a gapful number since it is divisible by the number (48) 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 4133562720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240103270400).

4133562720768 is an abundant number, since it is smaller than the sum of its proper divisors (10346643820032).

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

4133562720768 is a wasteful number, since it uses less digits than its factorization.

4133562720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4133562720768 in words is "four trillion, one hundred thirty-three billion, five hundred sixty-two million, seven hundred twenty thousand, seven hundred sixty-eight".