42193113600 has 960 divisors, whose sum is σ = 163961791488. Its totient is φ = 9461760000.

The previous prime is 42193113583. The next prime is 42193113631. The reversal of 42193113600 is 631139124.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 417753550 + ... + 417753650.

Almost surely, 2^42193113600 is an apocalyptic number.

42193113600 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 42193113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81980895744).

42193113600 is an abundant number, since it is smaller than the sum of its proper divisors (121768677888).

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

42193113600 is a wasteful number, since it uses less digits than its factorization.

42193113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 42193113600 in words is "forty-two billion, one hundred ninety-three million, one hundred thirteen thousand, six hundred".