42311024400 has 240 divisors, whose sum is σ = 139520962944. Its totient is φ = 10952663040.

The previous prime is 42311024381. The next prime is 42311024407. The reversal of 42311024400 is 442011324.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (42311024407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26328397 + ... + 26330003.

Almost surely, 2^42311024400 is an apocalyptic number.

42311024400 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 42311024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69760481472).

42311024400 is an abundant number, since it is smaller than the sum of its proper divisors (97209938544).

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

42311024400 is a wasteful number, since it uses less digits than its factorization.

42311024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 42311024400 its reverse (442011324), we get a palindrome (42753035724).

The spelling of 42311024400 in words is "forty-two billion, three hundred eleven million, twenty-four thousand, four hundred".