1278361429632 has 1344 divisors, whose sum is σ = 4758400857600. Its totient is φ = 340178227200.

The previous prime is 1278361429627. The next prime is 1278361429649. The reversal of 1278361429632 is 2369241638721.

1278361429632 is a `hidden beast` number, since 1 + 27 + 83 + 61 + 429 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4110486757 + ... + 4110487067.

Almost surely, 2^{1278361429632} is an apocalyptic number.

1278361429632 is a gapful number since it is divisible by the number (12) 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 1278361429632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379200428800).

1278361429632 is an abundant number, since it is smaller than the sum of its proper divisors (3480039427968).

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

1278361429632 is an equidigital number, since it uses as much as digits as its factorization.

1278361429632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 383 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 1278361429632 in words is "one trillion, two hundred seventy-eight billion, three hundred sixty-one million, four hundred twenty-nine thousand, six hundred thirty-two".