414204002072 has 16 divisors (see below), whose sum is σ = 887580004560. Its totient is φ = 177516000864.

The previous prime is 414204002033. The next prime is 414204002077. The reversal of 414204002072 is 270200402414.

It is a super-2 number, since 2×414204002072² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414204002077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3698249963 + ... + 3698250074.

It is an arithmetic number, because the mean of its divisors is an integer number (55473750285).

Almost surely, 2^414204002072 is an apocalyptic number.

It is an amenable number.

414204002072 is an abundant number, since it is smaller than the sum of its proper divisors (473376002488).

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

414204002072 is a wasteful number, since it uses less digits than its factorization.

414204002072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396500050 (or 7396500046 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

Adding to 414204002072 its reverse (270200402414), we get a palindrome (684404404486).

The spelling of 414204002072 in words is "four hundred fourteen billion, two hundred four million, two thousand, seventy-two".