464141409601 has 12 divisors (see below), whose sum is σ = 490002870420. Its totient is φ = 439565640800.

The previous prime is 464141409593. The next prime is 464141409607. The reversal of 464141409601 is 106904141464.

It can be written as a sum of positive squares in 2 ways, for example, as 449349012225 + 14792397376 = 670335^2 + 121624^2 .

It is not a de Polignac number, because 464141409601 - 2³ = 464141409593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464141409607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4290106 + ... + 4396963.

It is an arithmetic number, because the mean of its divisors is an integer number (40833572535).

Almost surely, 2^464141409601 is an apocalyptic number.

It is an amenable number.

464141409601 is a deficient number, since it is larger than the sum of its proper divisors (25861460819).

464141409601 is a wasteful number, since it uses less digits than its factorization.

464141409601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8687216 (or 8687193 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 464141409601 in words is "four hundred sixty-four billion, one hundred forty-one million, four hundred nine thousand, six hundred one".