42030410400 has 432 divisors, whose sum is σ = 163380043008. Its totient is φ = 10082304000.

The previous prime is 42030410341. The next prime is 42030410437. The reversal of 42030410400 is 401403024.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7679665 + ... + 7685135.

It is an arithmetic number, because the mean of its divisors is an integer number (378194544).

Almost surely, 2^42030410400 is an apocalyptic number.

42030410400 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 42030410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81690021504).

42030410400 is an abundant number, since it is smaller than the sum of its proper divisors (121349632608).

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

42030410400 is a wasteful number, since it uses less digits than its factorization.

42030410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42030410400 its reverse (401403024), we get a palindrome (42431813424).

The spelling of 42030410400 in words is "forty-two billion, thirty million, four hundred ten thousand, four hundred".