47405111400 has 288 divisors, whose sum is σ = 167751941760. Its totient is φ = 11973265920.

The previous prime is 47405111381. The next prime is 47405111401. The reversal of 47405111400 is 411150474.

47405111400 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 511 + 140 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (47405111401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4258642 + ... + 4269758.

It is an arithmetic number, because the mean of its divisors is an integer number (582472020).

Almost surely, 2^47405111400 is an apocalyptic number.

47405111400 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 47405111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83875970880).

47405111400 is an abundant number, since it is smaller than the sum of its proper divisors (120346830360).

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

47405111400 is a wasteful number, since it uses less digits than its factorization.

47405111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11265 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 47405111400 its reverse (411150474), we get a palindrome (47816261874).

The spelling of 47405111400 in words is "forty-seven billion, four hundred five million, one hundred eleven thousand, four hundred".