1377416540 has 48 divisors (see below), whose sum is σ = 2934392832. Its totient is φ = 543034176.

The previous prime is 1377416531. The next prime is 1377416561. The reversal of 1377416540 is 456147731.

It is a junction number, because it is equal to n+sod(n) for n = 1377416494 and 1377416503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006937 + ... + 1008303.

It is an arithmetic number, because the mean of its divisors is an integer number (61133184).

Almost surely, 2^1377416540 is an apocalyptic number.

1377416540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1377416540 is an abundant number, since it is smaller than the sum of its proper divisors (1556976292).

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

1377416540 is a wasteful number, since it uses less digits than its factorization.

1377416540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 1377416540 is about 37113.5627500244. The cubic root of 1377416540 is about 1112.6410987976.

The spelling of 1377416540 in words is "one billion, three hundred seventy-seven million, four hundred sixteen thousand, five hundred forty".