47180390400 has 1008 divisors, whose sum is σ = 199655033760. Its totient is φ = 10498867200.

The previous prime is 47180390357. The next prime is 47180390423. The reversal of 47180390400 is 409308174.

It is a happy number.

47180390400 is a `hidden beast` number, since 47 + 180 + 39 + 0 + 400 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 263577511 + ... + 263577689.

It is an arithmetic number, because the mean of its divisors is an integer number (198070470).

Almost surely, 2^47180390400 is an apocalyptic number.

47180390400 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 47180390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99827516880).

47180390400 is an abundant number, since it is smaller than the sum of its proper divisors (152474643360).

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

47180390400 is a wasteful number, since it uses less digits than its factorization.

47180390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 47180390400 its reverse (409308174), we get a palindrome (47589698574).

It can be divided in two parts, 47180 and 390400, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 47180390400 in words is "forty-seven billion, one hundred eighty million, three hundred ninety thousand, four hundred".