1395579465280 has 224 divisors, whose sum is σ = 4461951594240. Its totient is φ = 401525268480.

The previous prime is 1395579465271. The next prime is 1395579465281. The reversal of 1395579465280 is 825649755931.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1395579465280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (1395579465281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1858095 + ... + 2498734.

It is an arithmetic number, because the mean of its divisors is an integer number (19919426760).

It is a 1-persistent number, because it is pandigital, but 2⋅1395579465280 = 2791158930560 is not.

Almost surely, 2^{1395579465280} is an apocalyptic number.

1395579465280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1395579465280 is an abundant number, since it is smaller than the sum of its proper divisors (3066372128960).

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

1395579465280 is a wasteful number, since it uses less digits than its factorization.

1395579465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356877 (or 4356867 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 64.

The spelling of 1395579465280 in words is "one trillion, three hundred ninety-five billion, five hundred seventy-nine million, four hundred sixty-five thousand, two hundred eighty".