42769409760000 has 2160 divisors, whose sum is σ = 192751374816000. Its totient is φ = 8857866240000.

The previous prime is 42769409759977. The next prime is 42769409760013. The reversal of 42769409760000 is 6790496724.

It is a happy number.

42769409760000 is a `hidden beast` number, since 4 + 27 + 6 + 9 + 4 + 0 + 9 + 7 + 600 + 0 + 0 = 666.

It is a super-2 number, since 2×42769409760000² (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 239 ways as a sum of consecutive naturals, for example, 55329119614 + ... + 55329120386.

It is an arithmetic number, because the mean of its divisors is an integer number (89236747600).

Almost surely, 2^{42769409760000} is an apocalyptic number.

42769409760000 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 42769409760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96375687408000).

42769409760000 is an abundant number, since it is smaller than the sum of its proper divisors (149981965056000).

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

42769409760000 is a wasteful number, since it uses less digits than its factorization.

42769409760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 42769409760000 in words is "forty-two trillion, seven hundred sixty-nine billion, four hundred nine million, seven hundred sixty thousand".