414101121144 has 64 divisors (see below), whose sum is σ = 1063610956800. Its totient is φ = 134287795584.

The previous prime is 414101121121. The next prime is 414101121167. The reversal of 414101121144 is 441121101414.

It is an interprime number because it is at equal distance from previous prime (414101121121) and next prime (414101121167).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 910759 + ... + 1287510.

It is an arithmetic number, because the mean of its divisors is an integer number (16618921200).

Almost surely, 2^414101121144 is an apocalyptic number.

It is an amenable number.

414101121144 is an abundant number, since it is smaller than the sum of its proper divisors (649509835656).

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

414101121144 is a wasteful number, since it uses less digits than its factorization.

414101121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198492 (or 2198488 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 414101121144 its reverse (441121101414), we get a palindrome (855222222558).

The spelling of 414101121144 in words is "four hundred fourteen billion, one hundred one million, one hundred twenty-one thousand, one hundred forty-four".