10240634656401 has 8 divisors (see below), whose sum is σ = 13655404286400. Its totient is φ = 6826477398672.

The previous prime is 10240634656327. The next prime is 10240634656411. The reversal of 10240634656401 is 10465643604201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10240634656401 - 2¹⁴ = 10240634640017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10240634656411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153054045 + ... + 153120938.

It is an arithmetic number, because the mean of its divisors is an integer number (1706925535800).

Almost surely, 2^{10240634656401} is an apocalyptic number.

It is an amenable number.

10240634656401 is a deficient number, since it is larger than the sum of its proper divisors (3414769629999).

10240634656401 is a wasteful number, since it uses less digits than its factorization.

10240634656401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306186135.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 10240634656401 in words is "ten trillion, two hundred forty billion, six hundred thirty-four million, six hundred fifty-six thousand, four hundred one".