10401677627 has 8 divisors (see below), whose sum is σ = 11365803120. Its totient is φ = 9440638560.

The previous prime is 10401677609. The next prime is 10401677641. The reversal of 10401677627 is 72677610401.

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

It is a cyclic number.

It is not a de Polignac number, because 10401677627 - 2⁶ = 10401677563 is a prime.

It is a super-2 number, since 2×10401677627² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10401674627) 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 7 ways as a sum of consecutive naturals, for example, 764552 + ... + 778037.

It is an arithmetic number, because the mean of its divisors is an integer number (1420725390).

Almost surely, 2^10401677627 is an apocalyptic number.

10401677627 is a deficient number, since it is larger than the sum of its proper divisors (964125493).

10401677627 is a wasteful number, since it uses less digits than its factorization.

10401677627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543213.

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 10401677627 in words is "ten billion, four hundred one million, six hundred seventy-seven thousand, six hundred twenty-seven".