1377405029641 has 45 divisors (see below), whose sum is σ = 1523855926209. Its totient is φ = 1244985643200.

The previous prime is 1377405029617. The next prime is 1377405029653. The reversal of 1377405029641 is 1469205047731.

The square root of 1377405029641 is 1173629.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 427481900041 + 949923129600 = 653821^2 + 974640^2 .

It is not a de Polignac number, because 1377405029641 - 2⁷ = 1377405029513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1377405029681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10514542146 + ... + 10514542276.

Almost surely, 2^{1377405029641} is an apocalyptic number.

1377405029641 is the 1173629-th square number.

1377405029641 is the 586815-th centered octagonal number.

It is an amenable number.

1377405029641 is a deficient number, since it is larger than the sum of its proper divisors (146450896568).

1377405029641 is an frugal number, since it uses more digits than its factorization.

1377405029641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 1377405029641 by its sum of digits (49), we get a square (67492846452409 = 8215403²).

The spelling of 1377405029641 in words is "one trillion, three hundred seventy-seven billion, four hundred five million, twenty-nine thousand, six hundred forty-one".