1388013786432 has 1680 divisors, whose sum is σ = 5399349120000. Its totient is φ = 351883284480.

The previous prime is 1388013786427. The next prime is 1388013786437. The reversal of 1388013786432 is 2346873108831.

It is a happy number.

1388013786432 is a `hidden beast` number, since 138 + 8 + 0 + 1 + 3 + 78 + 6 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (1388013786427) and next prime (1388013786437).

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 (1388013786437) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9315528694 + ... + 9315528842.

Almost surely, 2^{1388013786432} is an apocalyptic number.

1388013786432 is a gapful number since it is divisible by the number (12) 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 1388013786432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699674560000).

1388013786432 is an abundant number, since it is smaller than the sum of its proper divisors (4011335333568).

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

1388013786432 is a wasteful number, since it uses less digits than its factorization.

1388013786432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1388013786432 in words is "one trillion, three hundred eighty-eight billion, thirteen million, seven hundred eighty-six thousand, four hundred thirty-two".