42144523200 has 1512 divisors, whose sum is σ = 184779787920. Its totient is φ = 9024307200.

The previous prime is 42144523193. The next prime is 42144523261. The reversal of 42144523200 is 232544124.

42144523200 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 452 + 3 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1027915180 + ... + 1027915220.

Almost surely, 2^42144523200 is an apocalyptic number.

42144523200 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 42144523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92389893960).

42144523200 is an abundant number, since it is smaller than the sum of its proper divisors (142635264720).

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

42144523200 is a wasteful number, since it uses less digits than its factorization.

42144523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 42144523200 in words is "forty-two billion, one hundred forty-four million, five hundred twenty-three thousand, two hundred".