42241145304600 has 576 divisors, whose sum is σ = 164419526700000. Its totient is φ = 9619939123200.

The previous prime is 42241145304593. The next prime is 42241145304661. The reversal of 42241145304600 is 640354114224.

42241145304600 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 1 + 1 + 45 + 3 + 0 + 4 + 600 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20251276 + ... + 22239524.

Almost surely, 2^{42241145304600} is an apocalyptic number.

42241145304600 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 42241145304600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82209763350000).

42241145304600 is an abundant number, since it is smaller than the sum of its proper divisors (122178381395400).

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

42241145304600 is a wasteful number, since it uses less digits than its factorization.

42241145304600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988348 (or 1988336 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 42241145304600 its reverse (640354114224), we get a palindrome (42881499418824).

The spelling of 42241145304600 in words is "forty-two trillion, two hundred forty-one billion, one hundred forty-five million, three hundred four thousand, six hundred".