1370343749040 has 720 divisors, whose sum is σ = 5496390619200. Its totient is φ = 305835264000.

The previous prime is 1370343748987. The next prime is 1370343749081. The reversal of 1370343749040 is 409473430731.

1370343749040 is a `hidden beast` number, since 13 + 70 + 3 + 43 + 7 + 490 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 456627540 + ... + 456630540.

It is an arithmetic number, because the mean of its divisors is an integer number (7633875860).

Almost surely, 2^{1370343749040} is an apocalyptic number.

1370343749040 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 1370343749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748195309600).

1370343749040 is an abundant number, since it is smaller than the sum of its proper divisors (4126046870160).

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

1370343749040 is a wasteful number, since it uses less digits than its factorization.

1370343749040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 1370343749040 in words is "one trillion, three hundred seventy billion, three hundred forty-three million, seven hundred forty-nine thousand, forty".