1427956649280 has 672 divisors, whose sum is σ = 5928156149760. Its totient is φ = 308191703040.

The previous prime is 1427956649233. The next prime is 1427956649281. The reversal of 1427956649280 is 829466597241.

1427956649280 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 9 + 5 + 66 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427956649281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119119447 + ... + 119131433.

Almost surely, 2^{1427956649280} is an apocalyptic number.

1427956649280 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 1427956649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964078074880).

1427956649280 is an abundant number, since it is smaller than the sum of its proper divisors (4500199500480).

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

1427956649280 is a wasteful number, since it uses less digits than its factorization.

1427956649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12347 (or 12334 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1427956649280 in words is "one trillion, four hundred twenty-seven billion, nine hundred fifty-six million, six hundred forty-nine thousand, two hundred eighty".