7138104019200 has 2592 divisors, whose sum is σ = 32878847619072. Its totient is φ = 1446554419200.

The previous prime is 7138104019141. The next prime is 7138104019201. The reversal of 7138104019200 is 29104018317.

It is a happy number.

7138104019200 is a `hidden beast` number, since 7 + 1 + 38 + 10 + 401 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7138104019201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25222982259 + ... + 25222982541.

Almost surely, 2^{7138104019200} is an apocalyptic number.

7138104019200 is a gapful number since it is divisible by the number (70) 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 7138104019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439423809536).

7138104019200 is an abundant number, since it is smaller than the sum of its proper divisors (25740743599872).

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

7138104019200 is a wasteful number, since it uses less digits than its factorization.

7138104019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 7138104019200 in words is "seven trillion, one hundred thirty-eight billion, one hundred four million, nineteen thousand, two hundred".