1377374451456 has 144 divisors (see below), whose sum is σ = 3758692942368. Its totient is φ = 447514214400.

The previous prime is 1377374451433. The next prime is 1377374451457. The reversal of 1377374451456 is 6541544737731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1377374451396 and 1377374451405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377374451457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35152516 + ... + 35191676.

It is an arithmetic number, because the mean of its divisors is an integer number (26102034322).

Almost surely, 2^{1377374451456} is an apocalyptic number.

1377374451456 is a gapful number since it is divisible by the number (16) 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 1377374451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879346471184).

1377374451456 is an abundant number, since it is smaller than the sum of its proper divisors (2381318490912).

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

1377374451456 is a wasteful number, since it uses less digits than its factorization.

1377374451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40338 (or 40324 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 57.

The spelling of 1377374451456 in words is "one trillion, three hundred seventy-seven billion, three hundred seventy-four million, four hundred fifty-one thousand, four hundred fifty-six".