414141700 has 72 divisors (see below), whose sum is σ = 1040211200. Its totient is φ = 140175360.

The previous prime is 414141683. The next prime is 414141719. The reversal of 414141700 is 7141414.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51556 + ... + 59044.

Almost surely, 2^414141700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414141700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520105600).

414141700 is an abundant number, since it is smaller than the sum of its proper divisors (626069500).

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

414141700 is a wasteful number, since it uses less digits than its factorization.

414141700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 414141700 is about 20350.4717390040. The cubic root of 414141700 is about 745.3890135370.

The spelling of 414141700 in words is "four hundred fourteen million, one hundred forty-one thousand, seven hundred".