1341788939040 has 384 divisors, whose sum is σ = 5014063772928. Its totient is φ = 297872916480.

The previous prime is 1341788938999. The next prime is 1341788939081. The reversal of 1341788939040 is 409398871431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1341788938999) and next prime (1341788939081).

It is a super-2 number, since 2×1341788939040² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3119112 + ... + 3523128.

It is an arithmetic number, because the mean of its divisors is an integer number (13057457742).

Almost surely, 2^{1341788939040} is an apocalyptic number.

1341788939040 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 1341788939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507031886464).

1341788939040 is an abundant number, since it is smaller than the sum of its proper divisors (3672274833888).

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

1341788939040 is a wasteful number, since it uses less digits than its factorization.

1341788939040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404100 (or 404092 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 1341788939040 in words is "one trillion, three hundred forty-one billion, seven hundred eighty-eight million, nine hundred thirty-nine thousand, forty".