1377331200000 has 1620 divisors, whose sum is σ = 5880020193684. Its totient is φ = 309657600000.

The previous prime is 1377331199969. The next prime is 1377331200031. The reversal of 1377331200000 is 21337731.

It is an interprime number because it is at equal distance from previous prime (1377331199969) and next prime (1377331200031).

It can be written as a sum of positive squares in 6 ways, for example, as 1354672521216 + 22658678784 = 1163904^2 + 150528^2 .

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 107 ways as a sum of consecutive naturals, for example, 22579199970 + ... + 22579200030.

Almost surely, 2^{1377331200000} is an apocalyptic number.

1377331200000 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 1377331200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940010096842).

1377331200000 is an abundant number, since it is smaller than the sum of its proper divisors (4502688993684).

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

1377331200000 is an frugal number, since it uses more digits than its factorization.

1377331200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

Adding to 1377331200000 its reverse (21337731), we get a palindrome (1377352537731).

The spelling of 1377331200000 in words is "one trillion, three hundred seventy-seven billion, three hundred thirty-one million, two hundred thousand".