1409134740 has 192 divisors, whose sum is σ = 4397863680. Its totient is φ = 334909440.

The previous prime is 1409134697. The next prime is 1409134763. The reversal of 1409134740 is 474319041.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4445062 + ... + 4445378.

It is an arithmetic number, because the mean of its divisors is an integer number (22905540).

Almost surely, 2^1409134740 is an apocalyptic number.

1409134740 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 1409134740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198931840).

1409134740 is an abundant number, since it is smaller than the sum of its proper divisors (2988728940).

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

1409134740 is a wasteful number, since it uses less digits than its factorization.

1409134740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1409134740 is about 37538.4434946363. The cubic root of 1409134740 is about 1121.1167485808.

The spelling of 1409134740 in words is "one billion, four hundred nine million, one hundred thirty-four thousand, seven hundred forty".