1376341986240 has 448 divisors, whose sum is σ = 5248476777600. Its totient is φ = 337525014528.

The previous prime is 1376341986223. The next prime is 1376341986263. The reversal of 1376341986240 is 426891436731.

1376341986240 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 3 + 4 + 1 + 9 + 8 + 624 + 0 = 666.

It is a super-3 number, since 3×1376341986240³ (a number of 37 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30191304 + ... + 30236856.

It is an arithmetic number, because the mean of its divisors is an integer number (11715349950).

Almost surely, 2^{1376341986240} is an apocalyptic number.

1376341986240 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 1376341986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624238388800).

1376341986240 is an abundant number, since it is smaller than the sum of its proper divisors (3872134791360).

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

1376341986240 is a wasteful number, since it uses less digits than its factorization.

1376341986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45861 (or 45845 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1376341986240 in words is "one trillion, three hundred seventy-six billion, three hundred forty-one million, nine hundred eighty-six thousand, two hundred forty".