42348800894400 has 9408 divisors, whose sum is σ = 233187555041280. Its totient is φ = 7272065433600.

The previous prime is 42348800894363. The next prime is 42348800894401. The reversal of 42348800894400 is 449800884324.

42348800894400 is a `hidden beast` number, since 4 + 2 + 3 + 48 + 80 + 0 + 89 + 440 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42348800894401) by changing a digit.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 510226516759 + ... + 510226516841.

It is an arithmetic number, because the mean of its divisors is an integer number (24786092160).

Almost surely, 2^{42348800894400} is an apocalyptic number.

42348800894400 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 42348800894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116593777520640).

42348800894400 is an abundant number, since it is smaller than the sum of its proper divisors (190838754146880).

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

42348800894400 is a wasteful number, since it uses less digits than its factorization.

42348800894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 42348800894400 in words is "forty-two trillion, three hundred forty-eight billion, eight hundred million, eight hundred ninety-four thousand, four hundred".