10749542401 has 32 divisors (see below), whose sum is σ = 12218861088. Its totient is φ = 9388431360.

The previous prime is 10749542393. The next prime is 10749542431. The reversal of 10749542401 is 10424594701.

It is a Cunningham number, because it is equal to 103680²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 498182400 + 10251360001 = 22320^2 + 101249^2 .

It is a cyclic number.

It is not a de Polignac number, because 10749542401 - 2³ = 10749542393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10749542431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7828551 + ... + 7829923.

It is an arithmetic number, because the mean of its divisors is an integer number (381839409).

Almost surely, 2^10749542401 is an apocalyptic number.

It is an amenable number.

10749542401 is a deficient number, since it is larger than the sum of its proper divisors (1469318687).

10749542401 is a wasteful number, since it uses less digits than its factorization.

10749542401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 10749542401 in words is "ten billion, seven hundred forty-nine million, five hundred forty-two thousand, four hundred one".