420105415230720 has 576 divisors, whose sum is σ = 1515827762749440. Its totient is φ = 110162276646912.

The previous prime is 420105415230679. The next prime is 420105415230749. The reversal of 420105415230720 is 27032514501024.

420105415230720 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 0 + 5 + 415 + 230 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495547042 + ... + 496394078.

It is an arithmetic number, because the mean of its divisors is an integer number (2631645421440).

Almost surely, 2^{420105415230720} is an apocalyptic number.

420105415230720 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 420105415230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757913881374720).

420105415230720 is an abundant number, since it is smaller than the sum of its proper divisors (1095722347518720).

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

420105415230720 is a wasteful number, since it uses less digits than its factorization.

420105415230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847307 (or 847287 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 420105415230720 its reverse (27032514501024), we get a palindrome (447137929731744).

The spelling of 420105415230720 in words is "four hundred twenty trillion, one hundred five billion, four hundred fifteen million, two hundred thirty thousand, seven hundred twenty".