42488536816000 has 1024 divisors, whose sum is σ = 120841339207680. Its totient is φ = 14721638400000.

The previous prime is 42488536815943. The next prime is 42488536816009. The reversal of 42488536816000 is 61863588424.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42488536816009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65066671674 + ... + 65066672326.

It is an arithmetic number, because the mean of its divisors is an integer number (118009120320).

Almost surely, 2^{42488536816000} is an apocalyptic number.

42488536816000 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 42488536816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60420669603840).

42488536816000 is an abundant number, since it is smaller than the sum of its proper divisors (78352802391680).

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

42488536816000 is a wasteful number, since it uses less digits than its factorization.

42488536816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 55.

The spelling of 42488536816000 in words is "forty-two trillion, four hundred eighty-eight billion, five hundred thirty-six million, eight hundred sixteen thousand".