414033133240 has 32 divisors (see below), whose sum is σ = 931693434480. Its totient is φ = 165592118272.

The previous prime is 414033133237. The next prime is 414033133243. The reversal of 414033133240 is 42331330414.

It is an interprime number because it is at equal distance from previous prime (414033133237) and next prime (414033133243).

It is a junction number, because it is equal to n+sod(n) for n = 414033133199 and 414033133208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414033133243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341209 + ... + 971848.

Almost surely, 2^414033133240 is an apocalyptic number.

414033133240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414033133240 is an abundant number, since it is smaller than the sum of its proper divisors (517660301240).

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

414033133240 is a wasteful number, since it uses less digits than its factorization.

414033133240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320951 (or 1320947 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 414033133240 its reverse (42331330414), we get a palindrome (456364463654).

The spelling of 414033133240 in words is "four hundred fourteen billion, thirty-three million, one hundred thirty-three thousand, two hundred forty".