1387140181830 has 288 divisors, whose sum is σ = 4136202330624. Its totient is φ = 334180349568.

The previous prime is 1387140181781. The next prime is 1387140181837. The reversal of 1387140181830 is 381810417831.

1387140181830 is a `hidden beast` number, since 1 + 387 + 14 + 0 + 181 + 83 + 0 = 666.

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 (1387140181837) 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, 19265557 + ... + 19337423.

It is an arithmetic number, because the mean of its divisors is an integer number (14361813648).

Almost surely, 2^{1387140181830} is an apocalyptic number.

1387140181830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387140181830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068101165312).

1387140181830 is an abundant number, since it is smaller than the sum of its proper divisors (2749062148794).

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

1387140181830 is a wasteful number, since it uses less digits than its factorization.

1387140181830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71962 (or 71937 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1387140181830 in words is "one trillion, three hundred eighty-seven billion, one hundred forty million, one hundred eighty-one thousand, eight hundred thirty".