42035677760160 has 1536 divisors, whose sum is σ = 179108278272000. Its totient is φ = 8994166013952.

The previous prime is 42035677760101. The next prime is 42035677760171. The reversal of 42035677760160 is 6106777653024.

It is a happy number.

42035677760160 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 567 + 7 + 7 + 60 + 16 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42035677760097 and 42035677760106.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26554438729 + ... + 26554440311.

It is an arithmetic number, because the mean of its divisors is an integer number (116606952000).

Almost surely, 2^{42035677760160} is an apocalyptic number.

42035677760160 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 42035677760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89554139136000).

42035677760160 is an abundant number, since it is smaller than the sum of its proper divisors (137072600511840).

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

42035677760160 is a wasteful number, since it uses less digits than its factorization.

42035677760160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 42035677760160 in words is "forty-two trillion, thirty-five billion, six hundred seventy-seven million, seven hundred sixty thousand, one hundred sixty".