42035177743812 has 720 divisors, whose sum is σ = 129871931333760. Its totient is φ = 11818707563520.

The previous prime is 42035177743807. The next prime is 42035177743883. The reversal of 42035177743812 is 21834777153024.

42035177743812 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 517 + 7 + 7 + 43 + 81 + 2 = 666.

42035177743812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 4253276223 + ... + 4253286105.

It is an arithmetic number, because the mean of its divisors is an integer number (180377682408).

Almost surely, 2^{42035177743812} 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 42035177743812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64935965666880).

42035177743812 is an abundant number, since it is smaller than the sum of its proper divisors (87836753589948).

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

42035177743812 is a wasteful number, since it uses less digits than its factorization.

42035177743812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10086 (or 10064 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 42035177743812 in words is "forty-two trillion, thirty-five billion, one hundred seventy-seven million, seven hundred forty-three thousand, eight hundred twelve".