42455040600 has 288 divisors, whose sum is σ = 154032641280. Its totient is φ = 9644785920.

The previous prime is 42455040587. The next prime is 42455040623. The reversal of 42455040600 is 604055424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4905477 + ... + 4914123.

It is an arithmetic number, because the mean of its divisors is an integer number (534835560).

Almost surely, 2^42455040600 is an apocalyptic number.

42455040600 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 42455040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77016320640).

42455040600 is an abundant number, since it is smaller than the sum of its proper divisors (111577600680).

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

42455040600 is a wasteful number, since it uses less digits than its factorization.

42455040600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8847 (or 8831 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 42455040600 in words is "forty-two billion, four hundred fifty-five million, forty thousand, six hundred".