419718747040 has 96 divisors (see below), whose sum is σ = 1018832487120. Its totient is φ = 163278249984.

The previous prime is 419718746957. The next prime is 419718747043. The reversal of 419718747040 is 40747817914.

It can be written as a sum of positive squares in 8 ways, for example, as 374548896016 + 45169851024 = 612004^2 + 212532^2 .

It is not an unprimeable number, because it can be changed into a prime (419718747043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14625826 + ... + 14654494.

Almost surely, 2^419718747040 is an apocalyptic number.

419718747040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419718747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509416243560).

419718747040 is an abundant number, since it is smaller than the sum of its proper divisors (599113740080).

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

419718747040 is a wasteful number, since it uses less digits than its factorization.

419718747040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31194 (or 31186 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 52.

The spelling of 419718747040 in words is "four hundred nineteen billion, seven hundred eighteen million, seven hundred forty-seven thousand, forty".