1395828080640 has 1620 divisors, whose sum is σ = 5955192147996. Its totient is φ = 313026674688.

The previous prime is 1395828080639. The next prime is 1395828080641. The reversal of 1395828080640 is 460808285931.

1395828080640 is a `hidden beast` number, since 13 + 9 + 582 + 8 + 0 + 8 + 0 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1395828080639) and next prime (1395828080641).

It can be written as a sum of positive squares in 2 ways, for example, as 758487711744 + 637340368896 = 870912^2 + 798336^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395828080641) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26336378854 + ... + 26336378906.

Almost surely, 2^{1395828080640} is an apocalyptic number.

1395828080640 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 1395828080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977596073998).

1395828080640 is an abundant number, since it is smaller than the sum of its proper divisors (4559364067356).

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

1395828080640 is an frugal number, since it uses more digits than its factorization.

1395828080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1395828080640 in words is "one trillion, three hundred ninety-five billion, eight hundred twenty-eight million, eighty thousand, six hundred forty".