42848894400 has 672 divisors, whose sum is σ = 165597401088. Its totient is φ = 9599385600.

The previous prime is 42848894393. The next prime is 42848894441. The reversal of 42848894400 is 449884824.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32884149 + ... + 32885451.

It is an arithmetic number, because the mean of its divisors is an integer number (246424704).

Almost surely, 2^42848894400 is an apocalyptic number.

42848894400 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 42848894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82798700544).

42848894400 is an abundant number, since it is smaller than the sum of its proper divisors (122748506688).

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

42848894400 is a wasteful number, since it uses less digits than its factorization.

42848894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 42848894400 in words is "forty-two billion, eight hundred forty-eight million, eight hundred ninety-four thousand, four hundred".