1340625771072 has 672 divisors, whose sum is σ = 4649330442240. Its totient is φ = 371053163520.

The previous prime is 1340625771053. The next prime is 1340625771103. The reversal of 1340625771072 is 2701775260431.

1340625771072 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 6 + 2 + 577 + 1 + 0 + 72 = 666.

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

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, 3500328193 + ... + 3500328575.

Almost surely, 2^{1340625771072} is an apocalyptic number.

1340625771072 is a gapful number since it is divisible by the number (12) 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 1340625771072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324665221120).

1340625771072 is an abundant number, since it is smaller than the sum of its proper divisors (3308704671168).

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

1340625771072 is a wasteful number, since it uses less digits than its factorization.

1340625771072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 1340625771072 in words is "one trillion, three hundred forty billion, six hundred twenty-five million, seven hundred seventy-one thousand, seventy-two".