1388090408670 has 384 divisors, whose sum is σ = 4429447925760. Its totient is φ = 294541194240.

The previous prime is 1388090408633. The next prime is 1388090408671. The reversal of 1388090408670 is 768040908831.

1388090408670 is a `hidden beast` number, since 1 + 3 + 8 + 80 + 90 + 408 + 6 + 70 = 666.

It is a super-2 number, since 2×1388090408670² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388090408671) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 202253659 + ... + 202260521.

It is an arithmetic number, because the mean of its divisors is an integer number (11535020640).

Almost surely, 2^{1388090408670} is an apocalyptic number.

1388090408670 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 1388090408670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214723962880).

1388090408670 is an abundant number, since it is smaller than the sum of its proper divisors (3041357517090).

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

1388090408670 is a wasteful number, since it uses less digits than its factorization.

1388090408670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1388090408670 in words is "one trillion, three hundred eighty-eight billion, ninety million, four hundred eight thousand, six hundred seventy".