42891580800 has 144 divisors (see below), whose sum is σ = 153047092380. Its totient is φ = 11437747200.

The previous prime is 42891580763. The next prime is 42891580801. The reversal of 42891580800 is 808519824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42891580801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 715846 + ... + 773445.

Almost surely, 2^42891580800 is an apocalyptic number.

42891580800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42891580800 is an abundant number, since it is smaller than the sum of its proper divisors (110155511580).

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

42891580800 is a wasteful number, since it uses less digits than its factorization.

42891580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489321 (or 1489301 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 42891580800 in words is "forty-two billion, eight hundred ninety-one million, five hundred eighty thousand, eight hundred".