1395613440 has 216 divisors, whose sum is σ = 5200671840. Its totient is φ = 343498752.

The previous prime is 1395613409. The next prime is 1395613451. The reversal of 1395613440 is 443165931.

1395613440 is a `hidden beast` number, since 1 + 39 + 5 + 613 + 4 + 4 + 0 = 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 = 1395613395 and 1395613404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145101 + ... + 154419.

Almost surely, 2^1395613440 is an apocalyptic number.

1395613440 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 1395613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600335920).

1395613440 is an abundant number, since it is smaller than the sum of its proper divisors (3805058400).

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

1395613440 is a wasteful number, since it uses less digits than its factorization.

1395613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1395613440 is about 37357.9100057806. The cubic root of 1395613440 is about 1117.5193396350.

The spelling of 1395613440 in words is "one billion, three hundred ninety-five million, six hundred thirteen thousand, four hundred forty".