11429303040 has 288 divisors, whose sum is σ = 40767498240. Its totient is φ = 3032100864.

The previous prime is 11429303023. The next prime is 11429303051. The reversal of 11429303040 is 4030392411.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 11429302995 and 11429303013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7706139 + ... + 7707621.

Almost surely, 2^11429303040 is an apocalyptic number.

11429303040 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 11429303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383749120).

11429303040 is an abundant number, since it is smaller than the sum of its proper divisors (29338195200).

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

11429303040 is a wasteful number, since it uses less digits than its factorization.

11429303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11429303040 its reverse (4030392411), we get a palindrome (15459695451).

The spelling of 11429303040 in words is "eleven billion, four hundred twenty-nine million, three hundred three thousand, forty".