42538780800 has 384 divisors, whose sum is σ = 163880136000. Its totient is φ = 10746224640.

The previous prime is 42538780789. The next prime is 42538780811. The reversal of 42538780800 is 808783524.

42538780800 is a `hidden beast` number, since 42 + 538 + 78 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42538780789) and next prime (42538780811).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1628644 + ... + 1654556.

Almost surely, 2^42538780800 is an apocalyptic number.

42538780800 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 42538780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81940068000).

42538780800 is an abundant number, since it is smaller than the sum of its proper divisors (121341355200).

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

42538780800 is a wasteful number, since it uses less digits than its factorization.

42538780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25965 (or 25942 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 42538780800 in words is "forty-two billion, five hundred thirty-eight million, seven hundred eighty thousand, eight hundred".