42053440000 has 400 divisors, whose sum is σ = 123487721280. Its totient is φ = 14100480000.

The previous prime is 42053439979. The next prime is 42053440003. The reversal of 42053440000 is 4435024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42053440003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45759541 + ... + 45760459.

Almost surely, 2^42053440000 is an apocalyptic number.

42053440000 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 42053440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61743860640).

42053440000 is an abundant number, since it is smaller than the sum of its proper divisors (81434281280).

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

42053440000 is an equidigital number, since it uses as much as digits as its factorization.

42053440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 42053440000 its reverse (4435024), we get a palindrome (42057875024).

The spelling of 42053440000 in words is "forty-two billion, fifty-three million, four hundred forty thousand".