1381092480 has 192 divisors, whose sum is σ = 4801605120. Its totient is φ = 365783040.

The previous prime is 1381092409. The next prime is 1381092487. The reversal of 1381092480 is 842901831.

1381092480 is a `hidden beast` number, since 13 + 81 + 0 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (1381092487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 938145 + ... + 939615.

It is an arithmetic number, because the mean of its divisors is an integer number (25008360).

Almost surely, 2^1381092480 is an apocalyptic number.

1381092480 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 1381092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400802560).

1381092480 is an abundant number, since it is smaller than the sum of its proper divisors (3420512640).

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

1381092480 is a wasteful number, since it uses less digits than its factorization.

1381092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1381092480 is about 37163.0526195037. The cubic root of 1381092480 is about 1113.6299957239.

The spelling of 1381092480 in words is "one billion, three hundred eighty-one million, ninety-two thousand, four hundred eighty".