42147424176480 has 240 divisors, whose sum is σ = 169994611211040. Its totient is φ = 9633696933888.

The previous prime is 42147424176479. The next prime is 42147424176581. The reversal of 42147424176480 is 8467142474124.

42147424176480 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 7 + 424 + 176 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 232203285 + ... + 232384724.

It is an arithmetic number, because the mean of its divisors is an integer number (708310880046).

Almost surely, 2^{42147424176480} is an apocalyptic number.

42147424176480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42147424176480 is an abundant number, since it is smaller than the sum of its proper divisors (127847187034560).

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

42147424176480 is a wasteful number, since it uses less digits than its factorization.

42147424176480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464588043 (or 464588026 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 42147424176480 in words is "forty-two trillion, one hundred forty-seven billion, four hundred twenty-four million, one hundred seventy-six thousand, four hundred eighty".