1138347869400 has 480 divisors, whose sum is σ = 4521313162080. Its totient is φ = 260029440000.

The previous prime is 1138347869381. The next prime is 1138347869401. The reversal of 1138347869400 is 49687438311.

1138347869400 is a `hidden beast` number, since 1 + 1 + 3 + 83 + 478 + 6 + 94 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138347869401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 344847750 + ... + 344851050.

It is an arithmetic number, because the mean of its divisors is an integer number (9419402421).

Almost surely, 2^{1138347869400} is an apocalyptic number.

1138347869400 is a gapful number since it is divisible by the number (10) 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 1138347869400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260656581040).

1138347869400 is an abundant number, since it is smaller than the sum of its proper divisors (3382965292680).

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

1138347869400 is a wasteful number, since it uses less digits than its factorization.

1138347869400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1138347869400 in words is "one trillion, one hundred thirty-eight billion, three hundred forty-seven million, eight hundred sixty-nine thousand, four hundred".