415729642441 has 9 divisors (see below), whose sum is σ = 418258818471. Its totient is φ = 413215680312.

The previous prime is 415729642421. The next prime is 415729642571. The reversal of 415729642441 is 144246927514.

The square root of 415729642441 is 644771.

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

It can be written as a sum of positive squares in only one way, i.e., 378169652025 + 37559990416 = 614955^2 + 193804^2 .

It is not a de Polignac number, because 415729642441 - 2⁵ = 415729642409 is a prime.

It is a super-2 number, since 2×415729642441² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415729642411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111543520 + ... + 111547246.

Almost surely, 2^415729642441 is an apocalyptic number.

415729642441 is the 644771-st square number.

415729642441 is the 322386-th centered octagonal number.

It is an amenable number.

415729642441 is a deficient number, since it is larger than the sum of its proper divisors (2529176030).

415729642441 is an frugal number, since it uses more digits than its factorization.

415729642441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 3900 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

Multiplying 415729642441 by its sum of digits (49), we get a square (20370752479609 = 4513397²).

The spelling of 415729642441 in words is "four hundred fifteen billion, seven hundred twenty-nine million, six hundred forty-two thousand, four hundred forty-one".