1377033405440 has 528 divisors, whose sum is σ = 4225982699520. Its totient is φ = 425717268480.

The previous prime is 1377033405439. The next prime is 1377033405481. The reversal of 1377033405440 is 445043307731.

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 47 ways as a sum of consecutive naturals, for example, 350477396 + ... + 350481324.

Almost surely, 2^{1377033405440} is an apocalyptic number.

1377033405440 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 1377033405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112991349760).

1377033405440 is an abundant number, since it is smaller than the sum of its proper divisors (2848949294080).

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

1377033405440 is a wasteful number, since it uses less digits than its factorization.

1377033405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 41.

The spelling of 1377033405440 in words is "one trillion, three hundred seventy-seven billion, thirty-three million, four hundred five thousand, four hundred forty".