42401520000 has 960 divisors, whose sum is σ = 178952716800. Its totient is φ = 9432576000.

The previous prime is 42401519983. The next prime is 42401520001. The reversal of 42401520000 is 2510424.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42401520001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 236879911 + ... + 236880089.

It is an arithmetic number, because the mean of its divisors is an integer number (186409080).

Almost surely, 2^42401520000 is an apocalyptic number.

42401520000 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 42401520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89476358400).

42401520000 is an abundant number, since it is smaller than the sum of its proper divisors (136551196800).

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

42401520000 is a wasteful number, since it uses less digits than its factorization.

42401520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The spelling of 42401520000 in words is "forty-two billion, four hundred one million, five hundred twenty thousand".