42609711212640 has 960 divisors, whose sum is σ = 184347751053312. Its totient is φ = 9120464179200.

The previous prime is 42609711212599. The next prime is 42609711212689. The reversal of 42609711212640 is 4621211790624.

42609711212640 is a `hidden beast` number, since 4 + 2 + 609 + 7 + 1 + 12 + 1 + 26 + 4 + 0 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 42125625 + ... + 43125255.

Almost surely, 2^{42609711212640} is an apocalyptic number.

42609711212640 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 42609711212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92173875526656).

42609711212640 is an abundant number, since it is smaller than the sum of its proper divisors (141738039840672).

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

42609711212640 is a wasteful number, since it uses less digits than its factorization.

42609711212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999705 (or 999688 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 42609711212640 in words is "forty-two trillion, six hundred nine billion, seven hundred eleven million, two hundred twelve thousand, six hundred forty".