1295228528640 has 1152 divisors, whose sum is σ = 4945386700800. Its totient is φ = 312294113280.

The previous prime is 1295228528617. The next prime is 1295228528681. The reversal of 1295228528640 is 468258225921.

1295228528640 is a `hidden beast` number, since 1 + 2 + 9 + 52 + 2 + 8 + 528 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5808199569 + ... + 5808199791.

It is an arithmetic number, because the mean of its divisors is an integer number (4292870400).

Almost surely, 2^{1295228528640} is an apocalyptic number.

1295228528640 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 1295228528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472693350400).

1295228528640 is an abundant number, since it is smaller than the sum of its proper divisors (3650158172160).

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

1295228528640 is a wasteful number, since it uses less digits than its factorization.

1295228528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1295228528640 in words is "one trillion, two hundred ninety-five billion, two hundred twenty-eight million, five hundred twenty-eight thousand, six hundred forty".