42640251162300 has 216 divisors, whose sum is σ = 145868896293120. Its totient is φ = 10332416630400.

The previous prime is 42640251162281. The next prime is 42640251162361. The reversal of 42640251162300 is 326115204624.

42640251162300 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 0 + 25 + 1 + 1 + 623 + 0 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 21245581 + ... + 23165819.

It is an arithmetic number, because the mean of its divisors is an integer number (675318964320).

Almost surely, 2^{42640251162300} 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 42640251162300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72934448146560).

42640251162300 is an abundant number, since it is smaller than the sum of its proper divisors (103228645130820).

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

42640251162300 is a wasteful number, since it uses less digits than its factorization.

42640251162300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922513 (or 1922503 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 42640251162300 its reverse (326115204624), we get a palindrome (42966366366924).

The spelling of 42640251162300 in words is "forty-two trillion, six hundred forty billion, two hundred fifty-one million, one hundred sixty-two thousand, three hundred".