42201352506240 has 384 divisors, whose sum is σ = 152097516305280. Its totient is φ = 10772055490560.

The previous prime is 42201352506227. The next prime is 42201352506241. The reversal of 42201352506240 is 4260525310224.

42201352506240 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 1 + 3 + 5 + 25 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 42201352506195 and 42201352506204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42201352506241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10830649 + ... + 14202311.

It is an arithmetic number, because the mean of its divisors is an integer number (396087282045).

Almost surely, 2^{42201352506240} is an apocalyptic number.

42201352506240 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 42201352506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76048758152640).

42201352506240 is an abundant number, since it is smaller than the sum of its proper divisors (109896163799040).

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

42201352506240 is a wasteful number, since it uses less digits than its factorization.

42201352506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371782 (or 3371767 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 42201352506240 its reverse (4260525310224), we get a palindrome (46461877816464).

The spelling of 42201352506240 in words is "forty-two trillion, two hundred one billion, three hundred fifty-two million, five hundred six thousand, two hundred forty".