42493045824000 has 3200 divisors, whose sum is σ = 174007605657600. Its totient is φ = 10271187763200.

The previous prime is 42493045823951. The next prime is 42493045824029. The reversal of 42493045824000 is 42854039424.

42493045824000 is a `hidden beast` number, since 4 + 2 + 493 + 0 + 45 + 82 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 334590911937 + ... + 334590912063.

It is an arithmetic number, because the mean of its divisors is an integer number (54377376768).

Almost surely, 2^{42493045824000} is an apocalyptic number.

42493045824000 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 42493045824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87003802828800).

42493045824000 is an abundant number, since it is smaller than the sum of its proper divisors (131514559833600).

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

42493045824000 is a wasteful number, since it uses less digits than its factorization.

42493045824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 42493045824000 in words is "forty-two trillion, four hundred ninety-three billion, forty-five million, eight hundred twenty-four thousand".