4117641000 has 128 divisors (see below), whose sum is σ = 14015064960. Its totient is φ = 998208000.

The previous prime is 4117640977. The next prime is 4117641019. The reversal of 4117641000 is 1467114.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29389 + ... + 95388.

It is an arithmetic number, because the mean of its divisors is an integer number (109492695).

Almost surely, 2^4117641000 is an apocalyptic number.

4117641000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4117641000 is an abundant number, since it is smaller than the sum of its proper divisors (9897423960).

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

4117641000 is a wasteful number, since it uses less digits than its factorization.

4117641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124812 (or 124798 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 4117641000 is about 64168.8475819848. The cubic root of 4117641000 is about 1602.8128904233.

The spelling of 4117641000 in words is "four billion, one hundred seventeen million, six hundred forty-one thousand".