1296228008040 has 256 divisors, whose sum is σ = 4736109035520. Its totient is φ = 277368960000.

The previous prime is 1296228008039. The next prime is 1296228008057. The reversal of 1296228008040 is 408008226921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1296228007983 and 1296228008001.

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, 194290 + ... + 1621790.

It is an arithmetic number, because the mean of its divisors is an integer number (18500425920).

Almost surely, 2^{1296228008040} is an apocalyptic number.

1296228008040 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 1296228008040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368054517760).

1296228008040 is an abundant number, since it is smaller than the sum of its proper divisors (3439881027480).

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

1296228008040 is a wasteful number, since it uses less digits than its factorization.

1296228008040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427592 (or 1427588 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 1296228008040 in words is "one trillion, two hundred ninety-six billion, two hundred twenty-eight million, eight thousand, forty".