42837941304900 has 567 divisors, whose sum is σ = 162175469006061. Its totient is φ = 9788701970880.

The previous prime is 42837941304877. The next prime is 42837941304929. The reversal of 42837941304900 is 940314973824.

The square root of 42837941304900 is 6545070.

It is a perfect power (a square), and thus also a powerful number.

42837941304900 is a `hidden beast` number, since 4 + 2 + 8 + 37 + 94 + 1 + 30 + 490 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15421658869764 + 27416282435136 = 3927042^2 + 5236056^2 .

It is a tau number, because it is divible by the number of its divisors (567).

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 12370180569 + ... + 12370184031.

Almost surely, 2^{42837941304900} is an apocalyptic number.

42837941304900 is the 6545070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42837941304900

42837941304900 is an abundant number, since it is smaller than the sum of its proper divisors (119337527701161).

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

42837941304900 is an frugal number, since it uses more digits than its factorization.

42837941304900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 42837941304900 in words is "forty-two trillion, eight hundred thirty-seven billion, nine hundred forty-one million, three hundred four thousand, nine hundred".