47743104261400 has 96 divisors (see below), whose sum is σ = 115856832500640. Its totient is φ = 18262525276160.

The previous prime is 47743104261397. The next prime is 47743104261401. The reversal of 47743104261400 is 416240134774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47743104261401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17873832 + ... + 20370568.

It is an arithmetic number, because the mean of its divisors is an integer number (1206842005215).

Almost surely, 2^{47743104261400} is an apocalyptic number.

47743104261400 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 47743104261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57928416250320).

47743104261400 is an abundant number, since it is smaller than the sum of its proper divisors (68113728239240).

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

47743104261400 is a wasteful number, since it uses less digits than its factorization.

47743104261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500933 (or 2500924 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The spelling of 47743104261400 in words is "forty-seven trillion, seven hundred forty-three billion, one hundred four million, two hundred sixty-one thousand, four hundred".