47052145410400 has 180 divisors, whose sum is σ = 124437946094532. Its totient is φ = 17373091407360.

The previous prime is 47052145410383. The next prime is 47052145410433. The reversal of 47052145410400 is 401454125074.

It is a self number, because there is not a number n which added to its sum of digits gives 47052145410400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21819159 + ... + 23878441.

Almost surely, 2^{47052145410400} is an apocalyptic number.

47052145410400 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 47052145410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62218973047266).

47052145410400 is an abundant number, since it is smaller than the sum of its proper divisors (77385800684132).

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

47052145410400 is an equidigital number, since it uses as much as digits as its factorization.

47052145410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059355 (or 2059303 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

Adding to 47052145410400 its reverse (401454125074), we get a palindrome (47453599535474).

The spelling of 47052145410400 in words is "forty-seven trillion, fifty-two billion, one hundred forty-five million, four hundred ten thousand, four hundred".