414021002004 has 72 divisors (see below), whose sum is σ = 1085744205000. Its totient is φ = 132866221824.

The previous prime is 414021001997. The next prime is 414021002023. The reversal of 414021002004 is 400200120414.

It can be written as a sum of positive squares in 4 ways, for example, as 60885562500 + 353135439504 = 246750^2 + 594252^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203799 + ... + 932510.

It is an arithmetic number, because the mean of its divisors is an integer number (15079780625).

Almost surely, 2^414021002004 is an apocalyptic number.

It is an amenable number.

414021002004 is an abundant number, since it is smaller than the sum of its proper divisors (671723202996).

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

414021002004 is a wasteful number, since it uses less digits than its factorization.

414021002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136697 (or 1136692 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 414021002004 its reverse (400200120414), we get a palindrome (814221122418).

The spelling of 414021002004 in words is "four hundred fourteen billion, twenty-one million, two thousand, four".