1395542242224 has 960 divisors, whose sum is σ = 4738066744320. Its totient is φ = 390611496960.

The previous prime is 1395542242141. The next prime is 1395542242229. The reversal of 1395542242224 is 4222422455931.

1395542242224 is a `hidden beast` number, since 1 + 39 + 554 + 2 + 2 + 42 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1395542242224.

It is not an unprimeable number, because it can be changed into a prime (1395542242229) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8561608767 + ... + 8561608929.

It is an arithmetic number, because the mean of its divisors is an integer number (4935486192).

Almost surely, 2^{1395542242224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395542242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369033372160).

1395542242224 is an abundant number, since it is smaller than the sum of its proper divisors (3342524502096).

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

1395542242224 is a wasteful number, since it uses less digits than its factorization.

1395542242224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 344 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 1395542242224 in words is "one trillion, three hundred ninety-five billion, five hundred forty-two million, two hundred forty-two thousand, two hundred twenty-four".