1381204440 has 512 divisors, whose sum is σ = 6083942400. Its totient is φ = 269844480.

The previous prime is 1381204421. The next prime is 1381204483. The reversal of 1381204440 is 444021831.

1381204440 is a `hidden beast` number, since 13 + 8 + 1 + 204 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1413232 + ... + 1414208.

It is an arithmetic number, because the mean of its divisors is an integer number (11882700).

Almost surely, 2^1381204440 is an apocalyptic number.

1381204440 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 1381204440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041971200).

1381204440 is an abundant number, since it is smaller than the sum of its proper divisors (4702737960).

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

1381204440 is a wasteful number, since it uses less digits than its factorization.

1381204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1381204440 is about 37164.5589237919. The cubic root of 1381204440 is about 1113.6600875165.

The spelling of 1381204440 in words is "one billion, three hundred eighty-one million, two hundred four thousand, four hundred forty".