4141666440 has 48 divisors (see below), whose sum is σ = 13460417100. Its totient is φ = 1104444288.

The previous prime is 4141666423. The next prime is 4141666471. The reversal of 4141666440 is 446661414.

4141666440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4128576516 + 13089924 = 64254^2 + 3618^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4141666395 and 4141666404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5751955 + ... + 5752674.

Almost surely, 2^4141666440 is an apocalyptic number.

4141666440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141666440 is an abundant number, since it is smaller than the sum of its proper divisors (9318750660).

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

4141666440 is a wasteful number, since it uses less digits than its factorization.

4141666440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11504646 (or 11504639 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4141666440 is about 64355.7801599825. The cubic root of 4141666440 is about 1605.9241889601.

The spelling of 4141666440 in words is "four billion, one hundred forty-one million, six hundred sixty-six thousand, four hundred forty".