1345197475440 has 480 divisors, whose sum is σ = 5766088613376. Its totient is φ = 283821511680.

The previous prime is 1345197475399. The next prime is 1345197475477. The reversal of 1345197475440 is 445747915431.

1345197475440 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 97 + 4 + 7 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1388835 + ... + 2149245.

Almost surely, 2^{1345197475440} is an apocalyptic number.

1345197475440 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 1345197475440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883044306688).

1345197475440 is an abundant number, since it is smaller than the sum of its proper divisors (4420891137936).

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

1345197475440 is a wasteful number, since it uses less digits than its factorization.

1345197475440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760459 (or 760441 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 1345197475440 in words is "one trillion, three hundred forty-five billion, one hundred ninety-seven million, four hundred seventy-five thousand, four hundred forty".