42729676554240 has 3600 divisors, whose sum is σ = 185651929182720. Its totient is φ = 9310536990720.

The previous prime is 42729676554239. The next prime is 42729676554283. The reversal of 42729676554240 is 4245567692724.

42729676554240 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 9 + 6 + 76 + 554 + 2 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1378376663025 + ... + 1378376663055.

Almost surely, 2^{42729676554240} is an apocalyptic number.

42729676554240 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 42729676554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92825964591360).

42729676554240 is an abundant number, since it is smaller than the sum of its proper divisors (142922252628480).

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

42729676554240 is a wasteful number, since it uses less digits than its factorization.

42729676554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 42729676554240 in words is "forty-two trillion, seven hundred twenty-nine billion, six hundred seventy-six million, five hundred fifty-four thousand, two hundred forty".