42144917508000 has 288 divisors, whose sum is σ = 154397229622272. Its totient is φ = 10876107456000.

The previous prime is 42144917507989. The next prime is 42144917508061. The reversal of 42144917508000 is 80571944124.

42144917508000 is a `hidden beast` number, since 4 + 2 + 14 + 491 + 75 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42144917508000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17766132 + ... + 19998131.

It is an arithmetic number, because the mean of its divisors is an integer number (536101491744).

Almost surely, 2^{42144917508000} is an apocalyptic number.

42144917508000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42144917508000 is an abundant number, since it is smaller than the sum of its proper divisors (112252312114272).

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

42144917508000 is a wasteful number, since it uses less digits than its factorization.

42144917508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37764325 (or 37764304 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 42144917508000 in words is "forty-two trillion, one hundred forty-four billion, nine hundred seventeen million, five hundred eight thousand".