42076339349760 has 1152 divisors, whose sum is σ = 163758425241600. Its totient is φ = 10183028244480.

The previous prime is 42076339349729. The next prime is 42076339349773. The reversal of 42076339349760 is 6794393367024.

42076339349760 is a `hidden beast` number, since 4 + 20 + 7 + 6 + 33 + 93 + 497 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×42076339349760² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22609531230 + ... + 22609533090.

It is an arithmetic number, because the mean of its divisors is an integer number (142151410800).

Almost surely, 2^{42076339349760} is an apocalyptic number.

42076339349760 is a gapful number since it is divisible by the number (40) 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 42076339349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81879212620800).

42076339349760 is an abundant number, since it is smaller than the sum of its proper divisors (121682085891840).

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

42076339349760 is a wasteful number, since it uses less digits than its factorization.

42076339349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 63.

The spelling of 42076339349760 in words is "forty-two trillion, seventy-six billion, three hundred thirty-nine million, three hundred forty-nine thousand, seven hundred sixty".