420243141342024 has 576 divisors, whose sum is σ = 1562715123016320. Its totient is φ = 99253739059200.

The previous prime is 420243141342007. The next prime is 420243141342041.

420243141342024 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 4 + 31 + 413 + 4 + 202 + 4 = 666.

420243141342024 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (420243141342007) and next prime (420243141342041).

It is a super-2 number, since 2×420243141342024² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420243141342024.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49161244 + ... + 57072884.

It is an arithmetic number, because the mean of its divisors is an integer number (2713047088570).

Almost surely, 2^{420243141342024} is an apocalyptic number.

420243141342024 is a gapful number since it is divisible by the number (44) 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 420243141342024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781357561508160).

420243141342024 is an abundant number, since it is smaller than the sum of its proper divisors (1142471981674296).

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

420243141342024 is a wasteful number, since it uses less digits than its factorization.

420243141342024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911762 (or 7911744 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 420243141342024 in words is "four hundred twenty trillion, two hundred forty-three billion, one hundred forty-one million, three hundred forty-two thousand, twenty-four".