42622587600 has 240 divisors, whose sum is σ = 141508710720. Its totient is φ = 10953420800.

The previous prime is 42622587593. The next prime is 42622587607. The reversal of 42622587600 is 678522624.

It is an interprime number because it is at equal distance from previous prime (42622587593) and next prime (42622587607).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42622587607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28778860 + ... + 28780340.

It is an arithmetic number, because the mean of its divisors is an integer number (589619628).

Almost surely, 2^42622587600 is an apocalyptic number.

42622587600 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 42622587600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70754355360).

42622587600 is an abundant number, since it is smaller than the sum of its proper divisors (98886123120).

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

42622587600 is a wasteful number, since it uses less digits than its factorization.

42622587600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 42622587600 in words is "forty-two billion, six hundred twenty-two million, five hundred eighty-seven thousand, six hundred".