1295438443200 has 1008 divisors, whose sum is σ = 5262225696000. Its totient is φ = 310832640000.

The previous prime is 1295438443153. The next prime is 1295438443237. The reversal of 1295438443200 is 23448345921.

1295438443200 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 438 + 4 + 4 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 431955301 + ... + 431958299.

It is an arithmetic number, because the mean of its divisors is an integer number (5220462000).

Almost surely, 2^{1295438443200} is an apocalyptic number.

1295438443200 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 1295438443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631112848000).

1295438443200 is an abundant number, since it is smaller than the sum of its proper divisors (3966787252800).

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

1295438443200 is a wasteful number, since it uses less digits than its factorization.

1295438443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1295438443200 in words is "one trillion, two hundred ninety-five billion, four hundred thirty-eight million, four hundred forty-three thousand, two hundred".