1395940054752 has 144 divisors (see below), whose sum is σ = 4074721822080. Its totient is φ = 453151078656.

The previous prime is 1395940054741. The next prime is 1395940054799. The reversal of 1395940054752 is 2574500495931.

1395940054752 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 9 + 40 + 0 + 547 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1395940054752² (a number of 25 digits) contains 22 as substring.

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, 1434253 + ... + 2202035.

It is an arithmetic number, because the mean of its divisors is an integer number (28296679320).

Almost surely, 2^{1395940054752} is an apocalyptic number.

1395940054752 is a gapful number since it is divisible by the number (12) 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 1395940054752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037360911040).

1395940054752 is an abundant number, since it is smaller than the sum of its proper divisors (2678781767328).

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

1395940054752 is a wasteful number, since it uses less digits than its factorization.

1395940054752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767965 (or 767954 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 1395940054752 in words is "one trillion, three hundred ninety-five billion, nine hundred forty million, fifty-four thousand, seven hundred fifty-two".