42056398800 has 720 divisors, whose sum is σ = 165370540608. Its totient is φ = 10202112000.

The previous prime is 42056398751. The next prime is 42056398801. The reversal of 42056398800 is 889365024.

42056398800 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 639 + 8 + 8 + 0 + 0 = 666.

42056398800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42056398801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104878600 + ... + 104879000.

Almost surely, 2^42056398800 is an apocalyptic number.

42056398800 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 42056398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82685270304).

42056398800 is an abundant number, since it is smaller than the sum of its proper divisors (123314141808).

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

42056398800 is a wasteful number, since it uses less digits than its factorization.

42056398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42056398800 in words is "forty-two billion, fifty-six million, three hundred ninety-eight thousand, eight hundred".