1404133380 has 240 divisors, whose sum is σ = 4825826544. Its totient is φ = 339655680.

The previous prime is 1404133373. The next prime is 1404133391. The reversal of 1404133380 is 833314041.

1404133380 is a `hidden beast` number, since 140 + 413 + 33 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 76842756 + 1327290624 = 8766^2 + 36432^2 .

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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1284114 + ... + 1285206.

Almost surely, 2^1404133380 is an apocalyptic number.

1404133380 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 1404133380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412913272).

1404133380 is an abundant number, since it is smaller than the sum of its proper divisors (3421693164).

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

1404133380 is a wasteful number, since it uses less digits than its factorization.

1404133380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1404133380 is about 37471.7677725511. The cubic root of 1404133380 is about 1119.7888047784.

The spelling of 1404133380 in words is "one billion, four hundred four million, one hundred thirty-three thousand, three hundred eighty".