407172271704 has 128 divisors (see below), whose sum is σ = 1190069383680. Its totient is φ = 114831129600.

The previous prime is 407172271703. The next prime is 407172271721.

407172271704 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407172271703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681517 + ... + 1130844.

It is an arithmetic number, because the mean of its divisors is an integer number (9297417060).

Almost surely, 2^407172271704 is an apocalyptic number.

407172271704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

407172271704 is an abundant number, since it is smaller than the sum of its proper divisors (782897111976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407172271704 is a wasteful number, since it uses less digits than its factorization.

407172271704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812441 (or 1812437 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 42.

It can be divided in two parts, 407172 and 271704, that added together give a palindrome (678876).

The spelling of 407172271704 in words is "four hundred seven billion, one hundred seventy-two million, two hundred seventy-one thousand, seven hundred four".