42136174080 has 2400 divisors, whose sum is σ = 213362281440. Its totient is φ = 7803371520.

The previous prime is 42136174079. The next prime is 42136174081. The reversal of 42136174080 is 8047163124.

It is an interprime number because it is at equal distance from previous prime (42136174079) and next prime (42136174081).

It is a super-2 number, since 2×42136174080² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42136174081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1452971506 + ... + 1452971534.

Almost surely, 2^42136174080 is an apocalyptic number.

42136174080 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 42136174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106681140720).

42136174080 is an abundant number, since it is smaller than the sum of its proper divisors (171226107360).

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

42136174080 is a wasteful number, since it uses less digits than its factorization.

42136174080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 42136174080 in words is "forty-two billion, one hundred thirty-six million, one hundred seventy-four thousand, eighty".