1278797414400 has 1368 divisors, whose sum is σ = 5253456403104. Its totient is φ = 305764761600.

The previous prime is 1278797414393. The next prime is 1278797414417. The reversal of 1278797414400 is 44147978721.

1278797414400 is a `hidden beast` number, since 1 + 2 + 78 + 7 + 97 + 41 + 440 + 0 = 666.

It is a super-2 number, since 2×1278797414400² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17517772764 + ... + 17517772836.

Almost surely, 2^{1278797414400} is an apocalyptic number.

1278797414400 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 1278797414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626728201552).

1278797414400 is an abundant number, since it is smaller than the sum of its proper divisors (3974658988704).

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

1278797414400 is an frugal number, since it uses more digits than its factorization.

1278797414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 1278797414400 in words is "one trillion, two hundred seventy-eight billion, seven hundred ninety-seven million, four hundred fourteen thousand, four hundred".