47133006278400 has 1296 divisors, whose sum is σ = 200024535110400. Its totient is φ = 10771444592640.

The previous prime is 47133006278341. The next prime is 47133006278401. The reversal of 47133006278400 is 487260033174.

47133006278400 is a `hidden beast` number, since 4 + 7 + 1 + 330 + 0 + 6 + 278 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47133006278401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7936182631 + ... + 7936188569.

Almost surely, 2^{47133006278400} is an apocalyptic number.

47133006278400 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 47133006278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100012267555200).

47133006278400 is an abundant number, since it is smaller than the sum of its proper divisors (152891528832000).

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

47133006278400 is an frugal number, since it uses more digits than its factorization.

47133006278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 47133006278400 in words is "forty-seven trillion, one hundred thirty-three billion, six million, two hundred seventy-eight thousand, four hundred".