1278630662400 has 3456 divisors, whose sum is σ = 6195194593280. Its totient is φ = 250822656000.

The previous prime is 1278630662371. The next prime is 1278630662401. The reversal of 1278630662400 is 42660368721.

1278630662400 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 630 + 6 + 6 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1278630662401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20961158370 + ... + 20961158430.

Almost surely, 2^{1278630662400} is an apocalyptic number.

1278630662400 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 1278630662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097597296640).

1278630662400 is an abundant number, since it is smaller than the sum of its proper divisors (4916563930880).

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

1278630662400 is a wasteful number, since it uses less digits than its factorization.

1278630662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1278630662400 in words is "one trillion, two hundred seventy-eight billion, six hundred thirty million, six hundred sixty-two thousand, four hundred".