7133838710400 has 576 divisors, whose sum is σ = 26984563145280. Its totient is φ = 1788326215680.

The previous prime is 7133838710399. The next prime is 7133838710443. The reversal of 7133838710400 is 40178383317.

7133838710400 is a `hidden beast` number, since 71 + 33 + 83 + 8 + 71 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 434266987 + ... + 434283413.

It is an arithmetic number, because the mean of its divisors is an integer number (46848199905).

Almost surely, 2^{7133838710400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7133838710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13492281572640).

7133838710400 is an abundant number, since it is smaller than the sum of its proper divisors (19850724434880).

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

7133838710400 is a wasteful number, since it uses less digits than its factorization.

7133838710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17361 (or 17341 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 7133838710400 in words is "seven trillion, one hundred thirty-three billion, eight hundred thirty-eight million, seven hundred ten thousand, four hundred".