1377728231400 has 288 divisors, whose sum is σ = 4666774432320. Its totient is φ = 364231296000.

The previous prime is 1377728231393. The next prime is 1377728231437. The reversal of 1377728231400 is 41328277731.

1377728231400 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 7 + 2 + 8 + 231 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 311489589 + ... + 311494011.

It is an arithmetic number, because the mean of its divisors is an integer number (16204077890).

Almost surely, 2^{1377728231400} is an apocalyptic number.

1377728231400 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 1377728231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333387216160).

1377728231400 is an abundant number, since it is smaller than the sum of its proper divisors (3289046200920).

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

1377728231400 is a wasteful number, since it uses less digits than its factorization.

1377728231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 1377728231400 in words is "one trillion, three hundred seventy-seven billion, seven hundred twenty-eight million, two hundred thirty-one thousand, four hundred".