42245177356800 has 3840 divisors, whose sum is σ = 189389021184000. Its totient is φ = 9101942784000.

The previous prime is 42245177356757. The next prime is 42245177356813. The reversal of 42245177356800 is 865377154224.

42245177356800 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 5 + 1 + 7 + 73 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 98016652585 + ... + 98016653015.

It is an arithmetic number, because the mean of its divisors is an integer number (49320057600).

Almost surely, 2^{42245177356800} is an apocalyptic number.

42245177356800 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 42245177356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94694510592000).

42245177356800 is an abundant number, since it is smaller than the sum of its proper divisors (147143843827200).

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

42245177356800 is a wasteful number, since it uses less digits than its factorization.

42245177356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 42245177356800 in words is "forty-two trillion, two hundred forty-five billion, one hundred seventy-seven million, three hundred fifty-six thousand, eight hundred".