1395405144 has 336 divisors, whose sum is σ = 4822097400. Its totient is φ = 376233984.

The previous prime is 1395405113. The next prime is 1395405157. The reversal of 1395405144 is 4415045931.

It is a happy number.

1395405144 is a `hidden beast` number, since 13 + 95 + 40 + 514 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1395405099 and 1395405108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5429464 + ... + 5429720.

Almost surely, 2^1395405144 is an apocalyptic number.

1395405144 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 1395405144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411048700).

1395405144 is an abundant number, since it is smaller than the sum of its proper divisors (3426692256).

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

1395405144 is a wasteful number, since it uses less digits than its factorization.

1395405144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1395405144 is about 37355.1220584273. The cubic root of 1395405144 is about 1117.4637400964.

The spelling of 1395405144 in words is "one billion, three hundred ninety-five million, four hundred five thousand, one hundred forty-four".