42802174800 has 360 divisors, whose sum is σ = 185188236480. Its totient is φ = 8893900800.

The previous prime is 42802174771. The next prime is 42802174801. The reversal of 42802174800 is 847120824.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42802174801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 199996 + ... + 354404.

It is an arithmetic number, because the mean of its divisors is an integer number (514411768).

Almost surely, 2^42802174800 is an apocalyptic number.

42802174800 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 42802174800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92594118240).

42802174800 is an abundant number, since it is smaller than the sum of its proper divisors (142386061680).

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

42802174800 is a wasteful number, since it uses less digits than its factorization.

42802174800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154451 (or 154437 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 42802174800 in words is "forty-two billion, eight hundred two million, one hundred seventy-four thousand, eight hundred".