42794954400 has 288 divisors, whose sum is σ = 156865959936. Its totient is φ = 10039680000.

The previous prime is 42794954353. The next prime is 42794954441. The reversal of 42794954400 is 445949724.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42794954400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 792255 + ... + 844545.

It is an arithmetic number, because the mean of its divisors is an integer number (544673472).

Almost surely, 2^42794954400 is an apocalyptic number.

42794954400 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 42794954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78432979968).

42794954400 is an abundant number, since it is smaller than the sum of its proper divisors (114071005536).

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

42794954400 is a wasteful number, since it uses less digits than its factorization.

42794954400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52356 (or 52343 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 42794954400 in words is "forty-two billion, seven hundred ninety-four million, nine hundred fifty-four thousand, four hundred".