42379261803648 has 2688 divisors, whose sum is σ = 167967483264000. Its totient is φ = 10622339481600.

The previous prime is 42379261803623. The next prime is 42379261803653. The reversal of 42379261803648 is 84630816297324.

42379261803648 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 9 + 2 + 618 + 0 + 3 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×42379261803648² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 120054565840 + ... + 120054566192.

It is an arithmetic number, because the mean of its divisors is an integer number (62487903000).

Almost surely, 2^{42379261803648} is an apocalyptic number.

42379261803648 is a gapful number since it is divisible by the number (48) 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 42379261803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83983741632000).

42379261803648 is an abundant number, since it is smaller than the sum of its proper divisors (125588221460352).

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

42379261803648 is an equidigital number, since it uses as much as digits as its factorization.

42379261803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 42379261803648 in words is "forty-two trillion, three hundred seventy-nine billion, two hundred sixty-one million, eight hundred three thousand, six hundred forty-eight".