414002053503 has 40 divisors (see below), whose sum is σ = 626763737600. Its totient is φ = 272314042560.

The previous prime is 414002053477. The next prime is 414002053547. The reversal of 414002053503 is 305350200414.

414002053503 is a `hidden beast` number, since 4 + 1 + 400 + 205 + 3 + 50 + 3 = 666.

It is not a de Polignac number, because 414002053503 - 2²⁹ = 413465182591 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414002053103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1750773 + ... + 1973121.

It is an arithmetic number, because the mean of its divisors is an integer number (15669093440).

Almost surely, 2^414002053503 is an apocalyptic number.

414002053503 is a deficient number, since it is larger than the sum of its proper divisors (212761684097).

414002053503 is a wasteful number, since it uses less digits than its factorization.

414002053503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222669 (or 222660 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 414002053503 its reverse (305350200414), we get a palindrome (719352253917).

The spelling of 414002053503 in words is "four hundred fourteen billion, two million, fifty-three thousand, five hundred three".