1376515380240 has 1600 divisors, whose sum is σ = 6470060889600. Its totient is φ = 261930516480.

The previous prime is 1376515380221. The next prime is 1376515380287. The reversal of 1376515380240 is 420835156731.

It is a happy number.

1376515380240 is a `hidden beast` number, since 1 + 3 + 76 + 5 + 1 + 538 + 0 + 2 + 40 = 666.

It is a super-4 number, since 4×1376515380240⁴ (a number of 50 digits) contains 4444 as substring.

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 319 ways as a sum of consecutive naturals, for example, 888646986 + ... + 888648534.

It is an arithmetic number, because the mean of its divisors is an integer number (4043788056).

Almost surely, 2^{1376515380240} is an apocalyptic number.

1376515380240 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 1376515380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235030444800).

1376515380240 is an abundant number, since it is smaller than the sum of its proper divisors (5093545509360).

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

1376515380240 is a wasteful number, since it uses less digits than its factorization.

1376515380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1376515380240 in words is "one trillion, three hundred seventy-six billion, five hundred fifteen million, three hundred eighty thousand, two hundred forty".