1395125240404 has 192 divisors, whose sum is σ = 3116241580032. Its totient is φ = 532472371200.

The previous prime is 1395125240371. The next prime is 1395125240479. The reversal of 1395125240404 is 4040425215931.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399633099 + ... + 399636589.

It is an arithmetic number, because the mean of its divisors is an integer number (16230424896).

Almost surely, 2^{1395125240404} is an apocalyptic number.

1395125240404 is a gapful number since it is divisible by the number (14) 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 1395125240404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558120790016).

1395125240404 is an abundant number, since it is smaller than the sum of its proper divisors (1721116339628).

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

1395125240404 is a wasteful number, since it uses less digits than its factorization.

1395125240404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 1395125240404 in words is "one trillion, three hundred ninety-five billion, one hundred twenty-five million, two hundred forty thousand, four hundred four".