413763754240 has 36 divisors (see below), whose sum is σ = 991093495644. Its totient is φ = 165505501184.

The previous prime is 413763754231. The next prime is 413763754241. The reversal of 413763754240 is 42457367314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 307519047936 + 106244706304 = 554544^2 + 325952^2 .

It is not an unprimeable number, because it can be changed into a prime (413763754241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161625187 + ... + 161627746.

It is an arithmetic number, because the mean of its divisors is an integer number (27530374879).

Almost surely, 2^413763754240 is an apocalyptic number.

413763754240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413763754240 is an abundant number, since it is smaller than the sum of its proper divisors (577329741404).

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

413763754240 is an equidigital number, since it uses as much as digits as its factorization.

413763754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323252954 (or 323252940 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 46.

The spelling of 413763754240 in words is "four hundred thirteen billion, seven hundred sixty-three million, seven hundred fifty-four thousand, two hundred forty".