420508117440 has 336 divisors, whose sum is σ = 1508371562880. Its totient is φ = 111505351680.

The previous prime is 420508117397. The next prime is 420508117487. The reversal of 420508117440 is 44711805024.

It is a happy number.

420508117440 is a `hidden beast` number, since 4 + 205 + 0 + 8 + 1 + 1 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420508117395 and 420508117404.

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 47 ways as a sum of consecutive naturals, for example, 13903935 + ... + 13934145.

It is an arithmetic number, because the mean of its divisors is an integer number (4489201080).

Almost surely, 2^420508117440 is an apocalyptic number.

420508117440 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 420508117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754185781440).

420508117440 is an abundant number, since it is smaller than the sum of its proper divisors (1087863445440).

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

420508117440 is a wasteful number, since it uses less digits than its factorization.

420508117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30422 (or 30400 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 420508117440 in words is "four hundred twenty billion, five hundred eight million, one hundred seventeen thousand, four hundred forty".