42874548053400 has 1152 divisors, whose sum is σ = 173010221280000. Its totient is φ = 9730560430080.

The previous prime is 42874548053303. The next prime is 42874548053411. The reversal of 42874548053400 is 435084547824.

42874548053400 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 4 + 548 + 0 + 53 + 40 + 0 = 666.

42874548053400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25235165751 + ... + 25235167449.

It is an arithmetic number, because the mean of its divisors is an integer number (150182483750).

Almost surely, 2^{42874548053400} is an apocalyptic number.

42874548053400 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 42874548053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86505110640000).

42874548053400 is an abundant number, since it is smaller than the sum of its proper divisors (130135673226600).

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

42874548053400 is a wasteful number, since it uses less digits than its factorization.

42874548053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 42874548053400 in words is "forty-two trillion, eight hundred seventy-four billion, five hundred forty-eight million, fifty-three thousand, four hundred".