414141888 has 112 divisors (see below), whose sum is σ = 1138858784. Its totient is φ = 132710400.

The previous prime is 414141883. The next prime is 414141899. The reversal of 414141888 is 888141414.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414141883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688788 + ... + 689388.

It is an arithmetic number, because the mean of its divisors is an integer number (10168382).

Almost surely, 2^414141888 is an apocalyptic number.

414141888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569429392).

414141888 is an abundant number, since it is smaller than the sum of its proper divisors (724716896).

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

414141888 is a wasteful number, since it uses less digits than its factorization.

414141888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its digits is 32768, while the sum is 39.

The square root of 414141888 is about 20350.4763580610. The cubic root of 414141888 is about 745.3891263270.

The spelling of 414141888 in words is "four hundred fourteen million, one hundred forty-one thousand, eight hundred eighty-eight".