42092097569280 has 2560 divisors, whose sum is σ = 174936653337600. Its totient is φ = 9496166400000.

The previous prime is 42092097569267. The next prime is 42092097569281. The reversal of 42092097569280 is 8296579029024.

42092097569280 is a `hidden beast` number, since 4 + 20 + 9 + 20 + 9 + 7 + 569 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42092097569281) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 91306068250 + ... + 91306068710.

It is an arithmetic number, because the mean of its divisors is an integer number (68334630210).

Almost surely, 2^{42092097569280} is an apocalyptic number.

42092097569280 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 42092097569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87468326668800).

42092097569280 is an abundant number, since it is smaller than the sum of its proper divisors (132844555768320).

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

42092097569280 is a wasteful number, since it uses less digits than its factorization.

42092097569280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 42092097569280 in words is "forty-two trillion, ninety-two billion, ninety-seven million, five hundred sixty-nine thousand, two hundred eighty".