1377824140 has 288 divisors, whose sum is σ = 4003776000. Its totient is φ = 393724800.

The previous prime is 1377824137. The next prime is 1377824183. The reversal of 1377824140 is 414287731.

It is a self number, because there is not a number n which added to its sum of digits gives 1377824140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44445925 + ... + 44445955.

It is an arithmetic number, because the mean of its divisors is an integer number (13902000).

Almost surely, 2^1377824140 is an apocalyptic number.

1377824140 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 1377824140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001888000).

1377824140 is an abundant number, since it is smaller than the sum of its proper divisors (2625951860).

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

1377824140 is a wasteful number, since it uses less digits than its factorization.

1377824140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 1377824140 is about 37119.0535978492. The cubic root of 1377824140 is about 1112.7508375180.

The spelling of 1377824140 in words is "one billion, three hundred seventy-seven million, eight hundred twenty-four thousand, one hundred forty".