42120110672640 has 4320 divisors, whose sum is σ = 208865695094784. Its totient is φ = 7711031623680.

The previous prime is 42120110672587. The next prime is 42120110672657. The reversal of 42120110672640 is 4627601102124.

42120110672640 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 0 + 1 + 1 + 0 + 6 + 7 + 2 + 640 = 666.

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 = 42120110672595 and 42120110672604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 90972161049 + ... + 90972161511.

Almost surely, 2^{42120110672640} is an apocalyptic number.

42120110672640 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 42120110672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104432847547392).

42120110672640 is an abundant number, since it is smaller than the sum of its proper divisors (166745584422144).

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

42120110672640 is a wasteful number, since it uses less digits than its factorization.

42120110672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 42120110672640 its reverse (4627601102124), we get a palindrome (46747711774764).

The spelling of 42120110672640 in words is "forty-two trillion, one hundred twenty billion, one hundred ten million, six hundred seventy-two thousand, six hundred forty".