42002400420024 has 256 divisors, whose sum is σ = 127465434708480. Its totient is φ = 11384468766720.

The previous prime is 42002400420023. The next prime is 42002400420037.

42002400420024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42002400419976 and 42002400420003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002400420023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4199232 + ... + 10081584.

It is an arithmetic number, because the mean of its divisors is an integer number (497911854330).

Almost surely, 2^{42002400420024} is an apocalyptic number.

42002400420024 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 42002400420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63732717354240).

42002400420024 is an abundant number, since it is smaller than the sum of its proper divisors (85463034288456).

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

42002400420024 is a wasteful number, since it uses less digits than its factorization.

42002400420024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882470 (or 5882466 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 42002400 and 420024, that multiplied together give a square (17642016057600 = 4200240²).

The spelling of 42002400420024 in words is "forty-two trillion, two billion, four hundred million, four hundred twenty thousand, twenty-four".