42146706032640 has 3072 divisors, whose sum is σ = 183617860608000. Its totient is φ = 9060970659840.

The previous prime is 42146706032597. The next prime is 42146706032653. The reversal of 42146706032640 is 4623060764124.

42146706032640 is a `hidden beast` number, since 4 + 2 + 14 + 6 + 7 + 0 + 603 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 629055313887 + ... + 629055313953.

It is an arithmetic number, because the mean of its divisors is an integer number (59771439000).

Almost surely, 2^{42146706032640} is an apocalyptic number.

42146706032640 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 42146706032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91808930304000).

42146706032640 is an abundant number, since it is smaller than the sum of its proper divisors (141471154575360).

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

42146706032640 is a wasteful number, since it uses less digits than its factorization.

42146706032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

Adding to 42146706032640 its reverse (4623060764124), we get a palindrome (46769766796764).

The spelling of 42146706032640 in words is "forty-two trillion, one hundred forty-six billion, seven hundred six million, thirty-two thousand, six hundred forty".