42159400 has 48 divisors (see below), whose sum is σ = 98503740. Its totient is φ = 16780800.

The previous prime is 42159373. The next prime is 42159407. The reversal of 42159400 is 495124.

It can be written as a sum of positive squares in 6 ways, for example, as 401956 + 41757444 = 634^2 + 6462^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42159407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55020 + ... + 55780.

Almost surely, 2^42159400 is an apocalyptic number.

42159400 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 42159400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49251870).

42159400 is an abundant number, since it is smaller than the sum of its proper divisors (56344340).

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

42159400 is a wasteful number, since it uses less digits than its factorization.

42159400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 42159400 is about 6493.0270290520. The cubic root of 42159400 is about 348.0418543045.

The spelling of 42159400 in words is "forty-two million, one hundred fifty-nine thousand, four hundred".