1331427342420 has 648 divisors, whose sum is σ = 4874349425400. Its totient is φ = 293276712960.

The previous prime is 1331427342391. The next prime is 1331427342449. The reversal of 1331427342420 is 242437241331.

1331427342420 is a `hidden beast` number, since 1 + 3 + 3 + 142 + 73 + 424 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1331427342391) and next prime (1331427342449).

It can be written as a sum of positive squares in 12 ways, for example, as 1231114517136 + 100312825284 = 1109556^2 + 316722^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1319550876 + ... + 1319551884.

It is an arithmetic number, because the mean of its divisors is an integer number (7522144175).

Almost surely, 2^{1331427342420} is an apocalyptic number.

1331427342420 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 1331427342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437174712700).

1331427342420 is an abundant number, since it is smaller than the sum of its proper divisors (3542922082980).

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

1331427342420 is a wasteful number, since it uses less digits than its factorization.

1331427342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 1331427342420 in words is "one trillion, three hundred thirty-one billion, four hundred twenty-seven million, three hundred forty-two thousand, four hundred twenty".