42635051136000 has 880 divisors, whose sum is σ = 162768130276752. Its totient is φ = 11091935232000.

The previous prime is 42635051135993. The next prime is 42635051136043. The reversal of 42635051136000 is 63115053624.

42635051136000 is a `hidden beast` number, since 4 + 2 + 6 + 35 + 0 + 5 + 1 + 13 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12077682287616 + 30557368848384 = 3475296^2 + 5527872^2 .

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 79 ways as a sum of consecutive naturals, for example, 425037852 + ... + 425138148.

Almost surely, 2^{42635051136000} is an apocalyptic number.

42635051136000 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 42635051136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81384065138376).

42635051136000 is an abundant number, since it is smaller than the sum of its proper divisors (120133079140752).

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

42635051136000 is a wasteful number, since it uses less digits than its factorization.

42635051136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100385 (or 100348 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 42635051136000 its reverse (63115053624), we get a palindrome (42698166189624).

The spelling of 42635051136000 in words is "forty-two trillion, six hundred thirty-five billion, fifty-one million, one hundred thirty-six thousand".