1377550400040 has 48 divisors (see below), whose sum is σ = 4477038801300. Its totient is φ = 367346773248.

The previous prime is 1377550400011. The next prime is 1377550400053. The reversal of 1377550400040 is 400040557731.

It is a happy number.

1377550400040 is a `hidden beast` number, since 137 + 75 + 50 + 400 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1302926365764 + 74624034276 = 1141458^2 + 273174^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1377550399968 and 1377550400004.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1913264085 + ... + 1913264804.

Almost surely, 2^{1377550400040} is an apocalyptic number.

1377550400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1377550400040 is an abundant number, since it is smaller than the sum of its proper divisors (3099488401260).

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

1377550400040 is a wasteful number, since it uses less digits than its factorization.

1377550400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826528906 (or 3826528899 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 1377550400040 its reverse (400040557731), we get a palindrome (1777590957771).

The spelling of 1377550400040 in words is "one trillion, three hundred seventy-seven billion, five hundred fifty million, four hundred thousand, forty".