4026747721761 has 48 divisors (see below), whose sum is σ = 6148064994240. Its totient is φ = 2532612096000.

The previous prime is 4026747721757. The next prime is 4026747721807. The reversal of 4026747721761 is 1671277476204.

It is a happy number.

4026747721761 is a `hidden beast` number, since 40 + 2 + 67 + 477 + 2 + 1 + 76 + 1 = 666.

It is not a de Polignac number, because 4026747721761 - 2² = 4026747721757 is a prime.

It is a super-2 number, since 2×4026747721761² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4026747721698 and 4026747721707.

It is not an unprimeable number, because it can be changed into a prime (4026747701761) 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 47 ways as a sum of consecutive naturals, for example, 191730261 + ... + 191751261.

It is an arithmetic number, because the mean of its divisors is an integer number (128084687380).

Almost surely, 2^{4026747721761} is an apocalyptic number.

It is an amenable number.

4026747721761 is a deficient number, since it is larger than the sum of its proper divisors (2121317272479).

4026747721761 is a wasteful number, since it uses less digits than its factorization.

4026747721761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25646 (or 25643 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 4026747721761 in words is "four trillion, twenty-six billion, seven hundred forty-seven million, seven hundred twenty-one thousand, seven hundred sixty-one".