1395119040 has 448 divisors, whose sum is σ = 5396471808. Its totient is φ = 298598400.

The previous prime is 1395119039. The next prime is 1395119051. The reversal of 1395119040 is 409115931.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 1395118992 and 1395119010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7707750 + ... + 7707930.

It is an arithmetic number, because the mean of its divisors is an integer number (12045696).

Almost surely, 2^1395119040 is an apocalyptic number.

1395119040 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 1395119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698235904).

1395119040 is an abundant number, since it is smaller than the sum of its proper divisors (4001352768).

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

1395119040 is a wasteful number, since it uses less digits than its factorization.

1395119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 1395119040 is about 37351.2923471197. The cubic root of 1395119040 is about 1117.3873625893.

The spelling of 1395119040 in words is "one billion, three hundred ninety-five million, one hundred nineteen thousand, forty".