4154445413001 has 96 divisors (see below), whose sum is σ = 6664339517472. Its totient is φ = 2478300364800.

The previous prime is 4154445412979. The next prime is 4154445413021. The reversal of 4154445413001 is 1003145444514.

4154445413001 is a `hidden beast` number, since 4 + 1 + 544 + 45 + 41 + 30 + 0 + 1 = 666.

4154445413001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1231986782601 + 2922458630400 = 1109949^2 + 1709520^2 .

It is not a de Polignac number, because 4154445413001 - 2⁶ = 4154445412937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4154445413021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118164241 + ... + 118199393.

It is an arithmetic number, because the mean of its divisors is an integer number (69420203307).

Almost surely, 2^{4154445413001} is an apocalyptic number.

It is an amenable number.

4154445413001 is a deficient number, since it is larger than the sum of its proper divisors (2509894104471).

4154445413001 is a wasteful number, since it uses less digits than its factorization.

4154445413001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35483 (or 35480 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 4154445413001 in words is "four trillion, one hundred fifty-four billion, four hundred forty-five million, four hundred thirteen thousand, one".