47603040080400 has 720 divisors, whose sum is σ = 199497562767360. Its totient is φ = 10275869260800.

The previous prime is 47603040080383. The next prime is 47603040080429. The reversal of 47603040080400 is 408004030674.

47603040080400 is a `hidden beast` number, since 4 + 7 + 603 + 0 + 4 + 0 + 0 + 8 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 45268585 + ... + 46308215.

It is an arithmetic number, because the mean of its divisors is an integer number (277079948288).

Almost surely, 2^{47603040080400} is an apocalyptic number.

47603040080400 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 47603040080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99748781383680).

47603040080400 is an abundant number, since it is smaller than the sum of its proper divisors (151894522686960).

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

47603040080400 is a wasteful number, since it uses less digits than its factorization.

47603040080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039764 (or 1039750 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 47603040080400 in words is "forty-seven trillion, six hundred three billion, forty million, eighty thousand, four hundred".