42701181445440 has 336 divisors, whose sum is σ = 175234611988800. Its totient is φ = 9760269947904.

The previous prime is 42701181445423. The next prime is 42701181445501. The reversal of 42701181445440 is 4454418110724.

42701181445440 is a `hidden beast` number, since 4 + 2 + 70 + 11 + 81 + 4 + 454 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 50007930 + ... + 50854649.

It is an arithmetic number, because the mean of its divisors is an integer number (521531583300).

Almost surely, 2^{42701181445440} is an apocalyptic number.

42701181445440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42701181445440 is an abundant number, since it is smaller than the sum of its proper divisors (132533430543360).

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

42701181445440 is a wasteful number, since it uses less digits than its factorization.

42701181445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100862619 (or 100862596 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 42701181445440 in words is "forty-two trillion, seven hundred one billion, one hundred eighty-one million, four hundred forty-five thousand, four hundred forty".