1377307701000 has 1536 divisors, whose sum is σ = 6321908736000. Its totient is φ = 261709056000.

The previous prime is 1377307700999. The next prime is 1377307701041. The reversal of 1377307701000 is 1077037731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 381841197 + ... + 381844803.

It is an arithmetic number, because the mean of its divisors is an integer number (4115826000).

Almost surely, 2^{1377307701000} is an apocalyptic number.

1377307701000 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 1377307701000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160954368000).

1377307701000 is an abundant number, since it is smaller than the sum of its proper divisors (4944601035000).

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

1377307701000 is a wasteful number, since it uses less digits than its factorization.

1377307701000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 21609, while the sum is 36.

The spelling of 1377307701000 in words is "one trillion, three hundred seventy-seven billion, three hundred seven million, seven hundred one thousand".