42580371974400 has 1296 divisors, whose sum is σ = 176866650966096. Its totient is φ = 9678492794880.

The previous prime is 42580371974377. The next prime is 42580371974423. The reversal of 42580371974400 is 447917308524.

42580371974400 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 0 + 3 + 7 + 197 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42580371974377) and next prime (42580371974423).

It can be written as a sum of positive squares in 24 ways, for example, as 33741785677824 + 8838586296576 = 5808768^2 + 2972976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 674637244 + ... + 674700356.

It is an arithmetic number, because the mean of its divisors is an integer number (136471181301).

Almost surely, 2^{42580371974400} is an apocalyptic number.

42580371974400 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 42580371974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88433325483048).

42580371974400 is an abundant number, since it is smaller than the sum of its proper divisors (134286278991696).

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

42580371974400 is a wasteful number, since it uses less digits than its factorization.

42580371974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63228 (or 63206 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 42580371974400 in words is "forty-two trillion, five hundred eighty billion, three hundred seventy-one million, nine hundred seventy-four thousand, four hundred".