1427743345140 has 288 divisors, whose sum is σ = 5117512458240. Its totient is φ = 315298656000.

The previous prime is 1427743345081. The next prime is 1427743345181. The reversal of 1427743345140 is 415433477241.

1427743345140 is a `hidden beast` number, since 1 + 4 + 2 + 77 + 433 + 4 + 5 + 140 = 666.

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 95 ways as a sum of consecutive naturals, for example, 24148615 + ... + 24207665.

It is an arithmetic number, because the mean of its divisors is an integer number (17769140480).

Almost surely, 2^{1427743345140} is an apocalyptic number.

1427743345140 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 1427743345140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558756229120).

1427743345140 is an abundant number, since it is smaller than the sum of its proper divisors (3689769113100).

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

1427743345140 is a wasteful number, since it uses less digits than its factorization.

1427743345140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59723 (or 59718 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 1427743345140 in words is "one trillion, four hundred twenty-seven billion, seven hundred forty-three million, three hundred forty-five thousand, one hundred forty".