1376449201120 has 384 divisors, whose sum is σ = 4004188618752. Its totient is φ = 436849459200.

The previous prime is 1376449201093. The next prime is 1376449201121. The reversal of 1376449201120 is 211029446731.

It is a super-2 number, since 2×1376449201120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376449201121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182042140 + ... + 182049700.

It is an arithmetic number, because the mean of its divisors is an integer number (10427574528).

Almost surely, 2^{1376449201120} is an apocalyptic number.

1376449201120 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 1376449201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002094309376).

1376449201120 is an abundant number, since it is smaller than the sum of its proper divisors (2627739417632).

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

1376449201120 is a wasteful number, since it uses less digits than its factorization.

1376449201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7834 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 1376449201120 in words is "one trillion, three hundred seventy-six billion, four hundred forty-nine million, two hundred one thousand, one hundred twenty".