42603633630624 has 192 divisors, whose sum is σ = 122783973742080. Its totient is φ = 12827601024000.

The previous prime is 42603633630619. The next prime is 42603633630629.

42603633630624 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42603633630619) and next prime (42603633630629).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42603633630629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118556179 + ... + 118914989.

It is an arithmetic number, because the mean of its divisors is an integer number (639499863240).

Almost surely, 2^{42603633630624} is an apocalyptic number.

42603633630624 is a gapful number since it is divisible by the number (44) 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 42603633630624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61391986871040).

42603633630624 is an abundant number, since it is smaller than the sum of its proper divisors (80180340111456).

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

42603633630624 is a wasteful number, since it uses less digits than its factorization.

42603633630624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359555 (or 359547 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 48.

It can be divided in two parts, 4260363 and 3630624, that added together give a palindrome (7890987).

The spelling of 42603633630624 in words is "forty-two trillion, six hundred three billion, six hundred thirty-three million, six hundred thirty thousand, six hundred twenty-four".