1390801104 has 450 divisors, whose sum is σ = 5175412242. Its totient is φ = 359251200.

The previous prime is 1390801091. The next prime is 1390801109. The reversal of 1390801104 is 4011080931.

It can be written as a sum of positive squares in only one way, i.e., 768398400 + 622402704 = 27720^2 + 24948^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390801109) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7683894 + ... + 7684074.

Almost surely, 2^1390801104 is an apocalyptic number.

1390801104 is a gapful number since it is divisible by the number (14) 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 1390801104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587706121).

1390801104 is an abundant number, since it is smaller than the sum of its proper divisors (3784611138).

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

1390801104 is a wasteful number, since it uses less digits than its factorization.

1390801104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1390801104 is about 37293.4458584883. The cubic root of 1390801104 is about 1116.2333885798.

The spelling of 1390801104 in words is "one billion, three hundred ninety million, eight hundred one thousand, one hundred four".