42521001600 has 1536 divisors, whose sum is σ = 189707857920. Its totient is φ = 8110080000.

The previous prime is 42521001599. The next prime is 42521001619. The reversal of 42521001600 is 610012524.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 697065570 + ... + 697065630.

It is an arithmetic number, because the mean of its divisors is an integer number (123507720).

Almost surely, 2^42521001600 is an apocalyptic number.

42521001600 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 42521001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94853928960).

42521001600 is an abundant number, since it is smaller than the sum of its proper divisors (147186856320).

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

42521001600 is a wasteful number, since it uses less digits than its factorization.

42521001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 42521001600 in words is "forty-two billion, five hundred twenty-one million, one thousand, six hundred".