1427849579104 has 96 divisors (see below), whose sum is σ = 3212701652160. Its totient is φ = 618828152832.

The previous prime is 1427849579099. The next prime is 1427849579129. The reversal of 1427849579104 is 4019759487241.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2874652 + ... + 3334564.

It is an arithmetic number, because the mean of its divisors is an integer number (33465642210).

Almost surely, 2^{1427849579104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427849579104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606350826080).

1427849579104 is an abundant number, since it is smaller than the sum of its proper divisors (1784852073056).

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

1427849579104 is a wasteful number, since it uses less digits than its factorization.

1427849579104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460392 (or 460384 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 1427849579104 in words is "one trillion, four hundred twenty-seven billion, eight hundred forty-nine million, five hundred seventy-nine thousand, one hundred four".