1427435412480 has 2112 divisors, whose sum is σ = 6498478909440. Its totient is φ = 290795028480.

The previous prime is 1427435412467. The next prime is 1427435412511. The reversal of 1427435412480 is 842145347241.

1427435412480 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 4 + 3 + 541 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8547517357 + ... + 8547517523.

Almost surely, 2^{1427435412480} is an apocalyptic number.

1427435412480 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 1427435412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249239454720).

1427435412480 is an abundant number, since it is smaller than the sum of its proper divisors (5071043496960).

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

1427435412480 is a wasteful number, since it uses less digits than its factorization.

1427435412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 1427435412480 in words is "one trillion, four hundred twenty-seven billion, four hundred thirty-five million, four hundred twelve thousand, four hundred eighty".