42305133911040 has 4928 divisors, whose sum is σ = 208567366640640. Its totient is φ = 7993359728640.

The previous prime is 42305133911017. The next prime is 42305133911087. The reversal of 42305133911040 is 4011933150324.

42305133911040 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 513 + 3 + 91 + 10 + 40 = 666.

42305133911040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4928).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42305133910986 and 42305133911004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 631419909087 + ... + 631419909153.

Almost surely, 2^{42305133911040} is an apocalyptic number.

42305133911040 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 42305133911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104283683320320).

42305133911040 is an abundant number, since it is smaller than the sum of its proper divisors (166262232729600).

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

42305133911040 is an equidigital number, since it uses as much as digits as its factorization.

42305133911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 42305133911040 in words is "forty-two trillion, three hundred five billion, one hundred thirty-three million, nine hundred eleven thousand, forty".