415791542761 has 27 divisors (see below), whose sum is σ = 486937343997. Its totient is φ = 354005631000.

The previous prime is 415791542753. The next prime is 415791542779. The reversal of 415791542761 is 167245197514.

The square root of 415791542761 is 644819.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 415791542761 - 2³ = 415791542753 is a prime.

It is a super-3 number, since 3×415791542761³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 415791542699 and 415791542708.

It is not an unprimeable number, because it can be changed into a prime (415791542701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1132946800 + ... + 1132947166.

Almost surely, 2^415791542761 is an apocalyptic number.

415791542761 is the 644819-th square number.

415791542761 is the 322410-th centered octagonal number.

It is an amenable number.

415791542761 is a deficient number, since it is larger than the sum of its proper divisors (71145801236).

415791542761 is an frugal number, since it uses more digits than its factorization.

415791542761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 625 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 52.

The spelling of 415791542761 in words is "four hundred fifteen billion, seven hundred ninety-one million, five hundred forty-two thousand, seven hundred sixty-one".