42993461030208 has 896 divisors, whose sum is σ = 137647473223680. Its totient is φ = 11699855032320.

The previous prime is 42993461030083. The next prime is 42993461030209. The reversal of 42993461030208 is 80203016439924.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42993461030209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87563056843 + ... + 87563057333.

It is an arithmetic number, because the mean of its divisors is an integer number (153624412080).

Almost surely, 2^{42993461030208} is an apocalyptic number.

42993461030208 is a gapful number since it is divisible by the number (48) 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 42993461030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68823736611840).

42993461030208 is an abundant number, since it is smaller than the sum of its proper divisors (94654012193472).

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

42993461030208 is a wasteful number, since it uses less digits than its factorization.

42993461030208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 42993461030208 in words is "forty-two trillion, nine hundred ninety-three billion, four hundred sixty-one million, thirty thousand, two hundred eight".