42393893400 has 480 divisors, whose sum is σ = 152847248400. Its totient is φ = 10882252800.

The previous prime is 42393893389. The next prime is 42393893413. The reversal of 42393893400 is 439839324.

42393893400 is a `hidden beast` number, since 4 + 239 + 3 + 8 + 9 + 3 + 400 = 666.

It is a super-2 number, since 2×42393893400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55128216 + ... + 55128984.

Almost surely, 2^42393893400 is an apocalyptic number.

42393893400 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 42393893400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76423624200).

42393893400 is an abundant number, since it is smaller than the sum of its proper divisors (110453355000).

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

42393893400 is a wasteful number, since it uses less digits than its factorization.

42393893400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 42393893400 in words is "forty-two billion, three hundred ninety-three million, eight hundred ninety-three thousand, four hundred".