1427111429376 has 144 divisors (see below), whose sum is σ = 3936920601600. Its totient is φ = 458394230784.

The previous prime is 1427111429369. The next prime is 1427111429377. The reversal of 1427111429376 is 6739241117241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427111429377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11273505 + ... + 11399391.

It is an arithmetic number, because the mean of its divisors is an integer number (27339726400).

Almost surely, 2^{1427111429376} is an apocalyptic number.

1427111429376 is a gapful number since it is divisible by the number (16) 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 1427111429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968460300800).

1427111429376 is an abundant number, since it is smaller than the sum of its proper divisors (2509809172224).

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

1427111429376 is a wasteful number, since it uses less digits than its factorization.

1427111429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126444 (or 126430 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The spelling of 1427111429376 in words is "one trillion, four hundred twenty-seven billion, one hundred eleven million, four hundred twenty-nine thousand, three hundred seventy-six".