414103111440 has 40 divisors (see below), whose sum is σ = 1283719646208. Its totient is φ = 110427496320.

The previous prime is 414103111421. The next prime is 414103111441. The reversal of 414103111440 is 44111301414.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×414103111440³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 414103111440.

It is not an unprimeable number, because it can be changed into a prime (414103111441) 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, 862714576 + ... + 862715055.

Almost surely, 2^414103111440 is an apocalyptic number.

414103111440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414103111440 is an abundant number, since it is smaller than the sum of its proper divisors (869616534768).

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

414103111440 is a wasteful number, since it uses less digits than its factorization.

414103111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725429647 (or 1725429641 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 414103111440 its reverse (44111301414), we get a palindrome (458214412854).

The spelling of 414103111440 in words is "four hundred fourteen billion, one hundred three million, one hundred eleven thousand, four hundred forty".