42435232413504 has 336 divisors, whose sum is σ = 131811433656768. Its totient is φ = 12012661850112.

The previous prime is 42435232413493. The next prime is 42435232413521. The reversal of 42435232413504 is 40531423253424.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×42435232413504³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 3872882394 + ... + 3872893350.

Almost surely, 2^{42435232413504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42435232413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65905716828384).

42435232413504 is an abundant number, since it is smaller than the sum of its proper divisors (89376201243264).

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

42435232413504 is a wasteful number, since it uses less digits than its factorization.

42435232413504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14742 (or 14725 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

Adding to 42435232413504 its reverse (40531423253424), we get a palindrome (82966655666928).

The spelling of 42435232413504 in words is "forty-two trillion, four hundred thirty-five billion, two hundred thirty-two million, four hundred thirteen thousand, five hundred four".