419501040721 has 27 divisors (see below), whose sum is σ = 495742135707. Its totient is φ = 353949084720.

The previous prime is 419501040697. The next prime is 419501040731. The reversal of 419501040721 is 127040105914.

The square root of 419501040721 is 647689.

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., 190653616321 + 228847424400 = 436639^2 + 478380^2 .

It is not a de Polignac number, because 419501040721 - 2⁵ = 419501040689 is a prime.

It is a super-2 number, since 2×419501040721² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (419501040731) 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, 303765451 + ... + 303766831.

It is an arithmetic number, because the mean of its divisors is an integer number (18360819841).

Almost surely, 2^419501040721 is an apocalyptic number.

419501040721 is the 647689-th square number.

419501040721 is the 323845-th centered octagonal number.

It is an amenable number.

419501040721 is a deficient number, since it is larger than the sum of its proper divisors (76241094986).

419501040721 is an frugal number, since it uses more digits than its factorization.

419501040721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 419501040721 in words is "four hundred nineteen billion, five hundred one million, forty thousand, seven hundred twenty-one".