4641100040 has 32 divisors (see below), whose sum is σ = 10481319000. Its totient is φ = 1849534464.

The previous prime is 4641100039. The next prime is 4641100063. The reversal of 4641100040 is 400011464.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3913503364 + 727596676 = 62558^2 + 26974^2 .

It is a super-3 number, since 3×4641100040³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4641099985 and 4641100021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204905 + ... + 226424.

Almost surely, 2^4641100040 is an apocalyptic number.

4641100040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4641100040 is an abundant number, since it is smaller than the sum of its proper divisors (5840218960).

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

4641100040 is a wasteful number, since it uses less digits than its factorization.

4641100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431609 (or 431605 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4641100040 is about 68125.6195568158. The cubic root of 4641100040 is about 1668.0419807057.

The spelling of 4641100040 in words is "four billion, six hundred forty-one million, one hundred thousand, forty".