42896828620800 has 5040 divisors, whose sum is σ = 207141585590016. Its totient is φ = 8583708672000.

The previous prime is 42896828620747. The next prime is 42896828620967. The reversal of 42896828620800 is 802682869824.

42896828620800 is a `hidden beast` number, since 428 + 96 + 8 + 28 + 6 + 20 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 604180684765 + ... + 604180684835.

Almost surely, 2^{42896828620800} is an apocalyptic number.

42896828620800 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 42896828620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103570792795008).

42896828620800 is an abundant number, since it is smaller than the sum of its proper divisors (164244756969216).

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

42896828620800 is a wasteful number, since it uses less digits than its factorization.

42896828620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 42896828620800 in words is "forty-two trillion, eight hundred ninety-six billion, eight hundred twenty-eight million, six hundred twenty thousand, eight hundred".