1380976128 has 400 divisors, whose sum is σ = 4848332544. Its totient is φ = 383201280.

The previous prime is 1380976117. The next prime is 1380976153. The reversal of 1380976128 is 8216790831.

It is a super-2 number, since 2×1380976128² = 3814190132211744768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19450333 + ... + 19450403.

Almost surely, 2^1380976128 is an apocalyptic number.

1380976128 is a gapful number since it is divisible by the number (18) 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 1380976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424166272).

1380976128 is an abundant number, since it is smaller than the sum of its proper divisors (3467356416).

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

1380976128 is an frugal number, since it uses more digits than its factorization.

1380976128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1380976128 is about 37161.4871607690. The cubic root of 1380976128 is about 1113.5987217583.

The spelling of 1380976128 in words is "one billion, three hundred eighty million, nine hundred seventy-six thousand, one hundred twenty-eight".