42152140800 has 1512 divisors, whose sum is σ = 196697181408. Its totient is φ = 8758886400.

The previous prime is 42152140799. The next prime is 42152140861. The reversal of 42152140800 is 804125124.

42152140800 is a `hidden beast` number, since 4 + 21 + 521 + 40 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3832012795 + ... + 3832012805.

Almost surely, 2^42152140800 is an apocalyptic number.

42152140800 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 42152140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98348590704).

42152140800 is an abundant number, since it is smaller than the sum of its proper divisors (154545040608).

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

42152140800 is an equidigital number, since it uses as much as digits as its factorization.

42152140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 42152140800 its reverse (804125124), we get a palindrome (42956265924).

The spelling of 42152140800 in words is "forty-two billion, one hundred fifty-two million, one hundred forty thousand, eight hundred".