1278149442240 has 896 divisors, whose sum is σ = 4861494650880. Its totient is φ = 281257574400.

The previous prime is 1278149442209. The next prime is 1278149442313. The reversal of 1278149442240 is 422449418721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1278149442240.

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 127 ways as a sum of consecutive naturals, for example, 368447226 + ... + 368450694.

It is an arithmetic number, because the mean of its divisors is an integer number (5425775280).

Almost surely, 2^{1278149442240} is an apocalyptic number.

1278149442240 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 1278149442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430747325440).

1278149442240 is an abundant number, since it is smaller than the sum of its proper divisors (3583345208640).

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

1278149442240 is a wasteful number, since it uses less digits than its factorization.

1278149442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 1278149442240 in words is "one trillion, two hundred seventy-eight billion, one hundred forty-nine million, four hundred forty-two thousand, two hundred forty".