5942112170400 has 432 divisors, whose sum is σ = 24352600708800. Its totient is φ = 1335176110080.

The previous prime is 5942112170381. The next prime is 5942112170413. The reversal of 5942112170400 is 40712112495.

5942112170400 is a `hidden beast` number, since 5 + 9 + 421 + 121 + 70 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1974456 + ... + 3972744.

It is an arithmetic number, because the mean of its divisors is an integer number (56371760900).

Almost surely, 2^{5942112170400} is an apocalyptic number.

5942112170400 is a gapful number since it is divisible by the number (50) 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 5942112170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12176300354400).

5942112170400 is an abundant number, since it is smaller than the sum of its proper divisors (18410488538400).

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

5942112170400 is a wasteful number, since it uses less digits than its factorization.

5942112170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998381 (or 1998365 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 5942112170400 its reverse (40712112495), we get a palindrome (5982824282895).

The spelling of 5942112170400 in words is "five trillion, nine hundred forty-two billion, one hundred twelve million, one hundred seventy thousand, four hundred".