42156302400 has 567 divisors, whose sum is σ = 157853003191. Its totient is φ = 10670069760.

The previous prime is 42156302329. The next prime is 42156302417. The reversal of 42156302400 is 420365124.

The square root of 42156302400 is 205320.

It is a perfect power (a square), and thus also a powerful number.

42156302400 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 630 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 579461184 + 41576841216 = 24072^2 + 203904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 714513571 + ... + 714513629.

Almost surely, 2^42156302400 is an apocalyptic number.

42156302400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42156302400 is the 205320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42156302400

42156302400 is an abundant number, since it is smaller than the sum of its proper divisors (115696700791).

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

42156302400 is a wasteful number, since it uses less digits than its factorization.

42156302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42156302400 its reverse (420365124), we get a palindrome (42576667524).

The spelling of 42156302400 in words is "forty-two billion, one hundred fifty-six million, three hundred two thousand, four hundred".