42401337552 has 480 divisors, whose sum is σ = 145544256000. Its totient is φ = 11266117632.

The previous prime is 42401337541. The next prime is 42401337557. The reversal of 42401337552 is 25573310424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42401337557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213071949 + ... + 213072147.

It is an arithmetic number, because the mean of its divisors is an integer number (303217200).

Almost surely, 2^42401337552 is an apocalyptic number.

42401337552 is a gapful number since it is divisible by the number (42) 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 42401337552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72772128000).

42401337552 is an abundant number, since it is smaller than the sum of its proper divisors (103142918448).

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

42401337552 is a wasteful number, since it uses less digits than its factorization.

42401337552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 42401337552 its reverse (25573310424), we get a palindrome (67974647976).

The spelling of 42401337552 in words is "forty-two billion, four hundred one million, three hundred thirty-seven thousand, five hundred fifty-two".