42136687986120 has 2560 divisors, whose sum is σ = 186927181056000. Its totient is φ = 8443150442496.

The previous prime is 42136687986119. The next prime is 42136687986121. The reversal of 42136687986120 is 2168978663124.

42136687986120 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 6 + 6 + 8 + 7 + 9 + 8 + 612 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42136687986119) and next prime (42136687986121).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42136687986121) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 57485249274 + ... + 57485250006.

It is an arithmetic number, because the mean of its divisors is an integer number (73018430100).

Almost surely, 2^{42136687986120} is an apocalyptic number.

42136687986120 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 42136687986120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93463590528000).

42136687986120 is an abundant number, since it is smaller than the sum of its proper divisors (144790493069880).

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

42136687986120 is a wasteful number, since it uses less digits than its factorization.

42136687986120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 42136687986120 in words is "forty-two trillion, one hundred thirty-six billion, six hundred eighty-seven million, nine hundred eighty-six thousand, one hundred twenty".