42045607747584 has 896 divisors, whose sum is σ = 145606483975680. Its totient is φ = 11741536714752.

The previous prime is 42045607747543. The next prime is 42045607747597. The reversal of 42045607747584 is 48574770654024.

It is a happy number.

42045607747584 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 5 + 6 + 0 + 7 + 7 + 47 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25684548814 + ... + 25684550450.

It is an arithmetic number, because the mean of its divisors is an integer number (162507236580).

Almost surely, 2^{42045607747584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42045607747584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72803241987840).

42045607747584 is an abundant number, since it is smaller than the sum of its proper divisors (103560876228096).

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

42045607747584 is a wasteful number, since it uses less digits than its factorization.

42045607747584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 210739200, while the sum is 63.

The spelling of 42045607747584 in words is "forty-two trillion, forty-five billion, six hundred seven million, seven hundred forty-seven thousand, five hundred eighty-four".