1389104640 has 960 divisors, whose sum is σ = 6434588160. Its totient is φ = 278691840.

The previous prime is 1389104623. The next prime is 1389104657. The reversal of 1389104640 is 464019831.

1389104640 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 1 + 0 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1389104623) and next prime (1389104657).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1389104640² = 3859223401739059200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1389104595 and 1389104604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47900146 + ... + 47900174.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^1389104640 is an apocalyptic number.

1389104640 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 1389104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217294080).

1389104640 is an abundant number, since it is smaller than the sum of its proper divisors (5045483520).

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

1389104640 is an equidigital number, since it uses as much as digits as its factorization.

1389104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1389104640 is about 37270.6941174967. The cubic root of 1389104640 is about 1115.7793528402.

The spelling of 1389104640 in words is "one billion, three hundred eighty-nine million, one hundred four thousand, six hundred forty".