416410260040 has 32 divisors (see below), whose sum is σ = 950119191360. Its totient is φ = 164218129600.

The previous prime is 416410259981. The next prime is 416410260047. The reversal of 416410260040 is 40062014614.

It is a junction number, because it is equal to n+sod(n) for n = 416410259990 and 416410260008.

It is not an unprimeable number, because it can be changed into a prime (416410260047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73308826 + ... + 73314505.

It is an arithmetic number, because the mean of its divisors is an integer number (29691224730).

Almost surely, 2^416410260040 is an apocalyptic number.

416410260040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416410260040 is an abundant number, since it is smaller than the sum of its proper divisors (533708931320).

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

416410260040 is a wasteful number, since it uses less digits than its factorization.

416410260040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146623413 (or 146623409 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 416410260040 its reverse (40062014614), we get a palindrome (456472274654).

The spelling of 416410260040 in words is "four hundred sixteen billion, four hundred ten million, two hundred sixty thousand, forty".