42401352 has 64 divisors (see below), whose sum is σ = 122987520. Its totient is φ = 11930688.

The previous prime is 42401347. The next prime is 42401357. The reversal of 42401352 is 25310424.

42401352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42401347) and next prime (42401357).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (42401357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9373 + ... + 13139.

It is an arithmetic number, because the mean of its divisors is an integer number (1921680).

Almost surely, 2^42401352 is an apocalyptic number.

42401352 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 42401352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61493760).

42401352 is an abundant number, since it is smaller than the sum of its proper divisors (80586168).

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

42401352 is a wasteful number, since it uses less digits than its factorization.

42401352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42401352 is about 6511.6320534871. The cubic root of 42401352 is about 348.7063865503.

Adding to 42401352 its reverse (25310424), we get a palindrome (67711776).

The spelling of 42401352 in words is "forty-two million, four hundred one thousand, three hundred fifty-two".