11429040 has 80 divisors (see below), whose sum is σ = 40497408. Its totient is φ = 2611968.

The previous prime is 11429027. The next prime is 11429057. The reversal of 11429040 is 4092411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11428998 and 11429016.

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 15 ways as a sum of consecutive naturals, for example, 1722 + ... + 5081.

Almost surely, 2^11429040 is an apocalyptic number.

11429040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11429040 is an abundant number, since it is smaller than the sum of its proper divisors (29068368).

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

11429040 is a wasteful number, since it uses less digits than its factorization.

11429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11429040 is about 3380.6863208526. The cubic root of 11429040 is about 225.2526544575.

The spelling of 11429040 in words is "eleven million, four hundred twenty-nine thousand, forty".