42433014400 has 192 divisors, whose sum is σ = 120092760000. Its totient is φ = 14512619520.

The previous prime is 42433014367. The next prime is 42433014413. The reversal of 42433014400 is 441033424.

It is a super-2 number, since 2×42433014400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10055491 + ... + 10059709.

It is an arithmetic number, because the mean of its divisors is an integer number (625483125).

Almost surely, 2^42433014400 is an apocalyptic number.

42433014400 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 42433014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60046380000).

42433014400 is an abundant number, since it is smaller than the sum of its proper divisors (77659745600).

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

42433014400 is a wasteful number, since it uses less digits than its factorization.

42433014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 42433014400 its reverse (441033424), we get a palindrome (42874047824).

The spelling of 42433014400 in words is "forty-two billion, four hundred thirty-three million, fourteen thousand, four hundred".