42413133432420 has 144 divisors (see below), whose sum is σ = 128780814419712. Its totient is φ = 11298953191680.

The previous prime is 42413133432409. The next prime is 42413133432491. The reversal of 42413133432420 is 2423433131424.

42413133432420 is a `hidden beast` number, since 4 + 2 + 41 + 31 + 3 + 343 + 242 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777610350 + ... + 777664890.

It is an arithmetic number, because the mean of its divisors is an integer number (894311211248).

Almost surely, 2^{42413133432420} is an apocalyptic number.

It is an amenable number.

42413133432420 is an abundant number, since it is smaller than the sum of its proper divisors (86367680987292).

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

42413133432420 is a wasteful number, since it uses less digits than its factorization.

42413133432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58762 (or 58757 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 42413133432420 its reverse (2423433131424), we get a palindrome (44836566563844).

The spelling of 42413133432420 in words is "forty-two trillion, four hundred thirteen billion, one hundred thirty-three million, four hundred thirty-two thousand, four hundred twenty".