1345144405140 has 144 divisors (see below), whose sum is σ = 4093637603328. Its totient is φ = 357531052032.

The previous prime is 1345144405123. The next prime is 1345144405147. The reversal of 1345144405140 is 415044415431.

1345144405140 is a `hidden beast` number, since 13 + 4 + 51 + 44 + 40 + 514 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1345144405095 and 1345144405104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345144405147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244435629 + ... + 244441131.

It is an arithmetic number, because the mean of its divisors is an integer number (28428038912).

Almost surely, 2^{1345144405140} is an apocalyptic number.

1345144405140 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 1345144405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046818801664).

1345144405140 is an abundant number, since it is smaller than the sum of its proper divisors (2748493198188).

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

1345144405140 is a wasteful number, since it uses less digits than its factorization.

1345144405140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9718 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 1345144405140 in words is "one trillion, three hundred forty-five billion, one hundred forty-four million, four hundred five thousand, one hundred forty".