420287831040 has 1408 divisors, whose sum is σ = 1799735500800. Its totient is φ = 81077207040.

The previous prime is 420287831027. The next prime is 420287831083. The reversal of 420287831040 is 40138782024.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a self number, because there is not a number n which added to its sum of digits gives 420287831040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1325828962 + ... + 1325829278.

Almost surely, 2^420287831040 is an apocalyptic number.

420287831040 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 420287831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899867750400).

420287831040 is an abundant number, since it is smaller than the sum of its proper divisors (1379447669760).

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

420287831040 is a wasteful number, since it uses less digits than its factorization.

420287831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 420287831040 in words is "four hundred twenty billion, two hundred eighty-seven million, eight hundred thirty-one thousand, forty".