1348187639040 has 2016 divisors, whose sum is σ = 5765029724160. Its totient is φ = 298299801600.

The previous prime is 1348187639023. The next prime is 1348187639053. The reversal of 1348187639040 is 409367818431.

1348187639040 is a `hidden beast` number, since 1 + 3 + 481 + 8 + 76 + 3 + 90 + 4 + 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 223 ways as a sum of consecutive naturals, for example, 6045684369 + ... + 6045684591.

It is an arithmetic number, because the mean of its divisors is an integer number (2859637760).

Almost surely, 2^{1348187639040} is an apocalyptic number.

1348187639040 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 1348187639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882514862080).

1348187639040 is an abundant number, since it is smaller than the sum of its proper divisors (4416842085120).

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

1348187639040 is a wasteful number, since it uses less digits than its factorization.

1348187639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1348187639040 in words is "one trillion, three hundred forty-eight billion, one hundred eighty-seven million, six hundred thirty-nine thousand, forty".