58040409110400 has 1152 divisors, whose sum is σ = 220223109506400. Its totient is φ = 14529134592000.

The previous prime is 58040409110393. The next prime is 58040409110401. The reversal of 58040409110400 is 401190404085.

58040409110400 is a `hidden beast` number, since 5 + 80 + 40 + 40 + 91 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58040409110401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10512659640 + ... + 10512665160.

Almost surely, 2^{58040409110400} is an apocalyptic number.

58040409110400 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 58040409110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110111554753200).

58040409110400 is an abundant number, since it is smaller than the sum of its proper divisors (162182700396000).

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

58040409110400 is a wasteful number, since it uses less digits than its factorization.

58040409110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 58040409110400 its reverse (401190404085), we get a palindrome (58441599514485).

The spelling of 58040409110400 in words is "fifty-eight trillion, forty billion, four hundred nine million, one hundred ten thousand, four hundred".