41400414 has 48 divisors (see below), whose sum is σ = 102121344. Its totient is φ = 11998800.

The previous prime is 41400409. The next prime is 41400419.

41400414 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (41400409) and next prime (41400419).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41400419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9 + ... + 9099.

It is an arithmetic number, because the mean of its divisors is an integer number (2127528).

Almost surely, 2^41400414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41400414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51060672).

41400414 is an abundant number, since it is smaller than the sum of its proper divisors (60720930).

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

41400414 is a wasteful number, since it uses less digits than its factorization.

41400414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41400414 is about 6434.3153481936. The cubic root of 41400414 is about 345.9406215277.

It can be divided in two parts, 41400 and 414, that multiplied together give a square (17139600 = 4140²).

The spelling of 41400414 in words is "forty-one million, four hundred thousand, four hundred fourteen".