1278415106496 has 448 divisors, whose sum is σ = 4297753152000. Its totient is φ = 369150566400.

The previous prime is 1278415106491. The next prime is 1278415106567. The reversal of 1278415106496 is 6946015148721.

1278415106496 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 41 + 5 + 106 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278415106491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33492030 + ... + 33530178.

It is an arithmetic number, because the mean of its divisors is an integer number (9593199000).

Almost surely, 2^{1278415106496} is an apocalyptic number.

1278415106496 is a gapful number since it is divisible by the number (16) 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 1278415106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148876576000).

1278415106496 is an abundant number, since it is smaller than the sum of its proper divisors (3019338045504).

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

1278415106496 is a wasteful number, since it uses less digits than its factorization.

1278415106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38265 (or 38249 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1278415106496 in words is "one trillion, two hundred seventy-eight billion, four hundred fifteen million, one hundred six thousand, four hundred ninety-six".