42411020400 has 360 divisors, whose sum is σ = 172119559040. Its totient is φ = 9468264960.

The previous prime is 42411020387. The next prime is 42411020413. The reversal of 42411020400 is 402011424.

42411020400 is a `hidden beast` number, since 4 + 241 + 1 + 0 + 20 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (42411020387) and next prime (42411020413).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1064031 + ... + 1103169.

Almost surely, 2^42411020400 is an apocalyptic number.

42411020400 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 42411020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86059779520).

42411020400 is an abundant number, since it is smaller than the sum of its proper divisors (129708538640).

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

42411020400 is a wasteful number, since it uses less digits than its factorization.

42411020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39213 (or 39199 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42411020400 its reverse (402011424), we get a palindrome (42813031824).

The spelling of 42411020400 in words is "forty-two billion, four hundred eleven million, twenty thousand, four hundred".