415268400541 has 8 divisors (see below), whose sum is σ = 441616027320. Its totient is φ = 389134115328.

The previous prime is 415268400539. The next prime is 415268400557. The reversal of 415268400541 is 145004862514.

It can be written as a sum of positive squares in 4 ways, for example, as 191643448441 + 223624952100 = 437771^2 + 472890^2 .

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 415268400541 - 2¹ = 415268400539 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 415268400494 and 415268400503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415268400341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53331376 + ... + 53339161.

It is an arithmetic number, because the mean of its divisors is an integer number (55202003415).

Almost surely, 2^415268400541 is an apocalyptic number.

It is an amenable number.

415268400541 is a deficient number, since it is larger than the sum of its proper divisors (26347626779).

415268400541 is a wasteful number, since it uses less digits than its factorization.

415268400541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106670783.

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 415268400541 in words is "four hundred fifteen billion, two hundred sixty-eight million, four hundred thousand, five hundred forty-one".