4012510456401 has 32 divisors (see below), whose sum is σ = 5492433866496. Its totient is φ = 2604687840000.

The previous prime is 4012510456379. The next prime is 4012510456403. The reversal of 4012510456401 is 1046540152104.

It is not a de Polignac number, because 4012510456401 - 2¹⁸ = 4012510194257 is a prime.

It is a super-2 number, since 2×4012510456401² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4012510456403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151935540 + ... + 151961946.

It is an arithmetic number, because the mean of its divisors is an integer number (171638558328).

Almost surely, 2^{4012510456401} is an apocalyptic number.

It is an amenable number.

4012510456401 is a deficient number, since it is larger than the sum of its proper divisors (1479923410095).

4012510456401 is a wasteful number, since it uses less digits than its factorization.

4012510456401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34793.

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 4012510456401 in words is "four trillion, twelve billion, five hundred ten million, four hundred fifty-six thousand, four hundred one".