4001315200461 has 24 divisors (see below), whose sum is σ = 6035159370240. Its totient is φ = 2549789976096.

The previous prime is 4001315200457. The next prime is 4001315200471. The reversal of 4001315200461 is 1640025131004.

It is a happy number.

4001315200461 is a `hidden beast` number, since 4 + 0 + 0 + 131 + 520 + 0 + 4 + 6 + 1 = 666.

It is not a de Polignac number, because 4001315200461 - 2² = 4001315200457 is a prime.

It is a super-2 number, since 2×4001315200461² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001315200471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6418606 + ... + 7014351.

It is an arithmetic number, because the mean of its divisors is an integer number (251464973760).

Almost surely, 2^{4001315200461} is an apocalyptic number.

It is an amenable number.

4001315200461 is a deficient number, since it is larger than the sum of its proper divisors (2033844169779).

4001315200461 is a wasteful number, since it uses less digits than its factorization.

4001315200461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13434425 (or 13434422 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 4001315200461 in words is "four trillion, one billion, three hundred fifteen million, two hundred thousand, four hundred sixty-one".