1377408001 has 8 divisors (see below), whose sum is σ = 1396794600. Its totient is φ = 1358156928.

The previous prime is 1377407987. The next prime is 1377408029. The reversal of 1377408001 is 1008047731.

It can be written as a sum of positive squares in 4 ways, for example, as 138297600 + 1239110401 = 11760^2 + 35201^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1377408001 - 2¹⁹ = 1376883713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1377408601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13326 + ... + 54151.

It is an arithmetic number, because the mean of its divisors is an integer number (174599325).

Almost surely, 2^1377408001 is an apocalyptic number.

It is an amenable number.

1377408001 is a deficient number, since it is larger than the sum of its proper divisors (19386599).

1377408001 is a wasteful number, since it uses less digits than its factorization.

1377408001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67763.

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 1377408001 is about 37113.4477110386. The cubic root of 1377408001 is about 1112.6387995992.

The spelling of 1377408001 in words is "one billion, three hundred seventy-seven million, four hundred eight thousand, one".