420988458240 has 288 divisors, whose sum is σ = 1707343061760. Its totient is φ = 96225878016.

The previous prime is 420988458229. The next prime is 420988458259. The reversal of 420988458240 is 42854889024.

420988458240 is a `hidden beast` number, since 420 + 98 + 84 + 58 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628179 + ... + 1112018.

It is an arithmetic number, because the mean of its divisors is an integer number (5928274520).

Almost surely, 2^420988458240 is an apocalyptic number.

420988458240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420988458240 is an abundant number, since it is smaller than the sum of its proper divisors (1286354603520).

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

420988458240 is a wasteful number, since it uses less digits than its factorization.

420988458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740234 (or 1740214 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 420988458240 in words is "four hundred twenty billion, nine hundred eighty-eight million, four hundred fifty-eight thousand, two hundred forty".