1377377040 has 240 divisors, whose sum is σ = 4787104320. Its totient is φ = 327075840.

The previous prime is 1377377033. The next prime is 1377377093. The reversal of 1377377040 is 407737731.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1377377040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175655 + ... + 1176825.

It is an arithmetic number, because the mean of its divisors is an integer number (19946268).

Almost surely, 2^1377377040 is an apocalyptic number.

1377377040 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 1377377040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393552160).

1377377040 is an abundant number, since it is smaller than the sum of its proper divisors (3409727280).

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

1377377040 is a wasteful number, since it uses less digits than its factorization.

1377377040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 39.

The square root of 1377377040 is about 37113.0305957355. The cubic root of 1377377040 is about 1112.6304630066.

The spelling of 1377377040 in words is "one billion, three hundred seventy-seven million, three hundred seventy-seven thousand, forty".