420998695040 has 512 divisors, whose sum is σ = 1337190819840. Its totient is φ = 122704035840.

The previous prime is 420998695031. The next prime is 420998695087. The reversal of 420998695040 is 40596899024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 63 ways as a sum of consecutive naturals, for example, 136553339 + ... + 136556421.

It is an arithmetic number, because the mean of its divisors is an integer number (2611700820).

Almost surely, 2^420998695040 is an apocalyptic number.

420998695040 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 420998695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668595409920).

420998695040 is an abundant number, since it is smaller than the sum of its proper divisors (916192124800).

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

420998695040 is a wasteful number, since it uses less digits than its factorization.

420998695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 56.

The spelling of 420998695040 in words is "four hundred twenty billion, nine hundred ninety-eight million, six hundred ninety-five thousand, forty".