1140829920 has 480 divisors, whose sum is σ = 4379870880. Its totient is φ = 278691840.

The previous prime is 1140829873. The next prime is 1140829979. The reversal of 1140829920 is 299280411.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10095784 + ... + 10095896.

It is an arithmetic number, because the mean of its divisors is an integer number (9124731).

Almost surely, 2^1140829920 is an apocalyptic number.

1140829920 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 1140829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189935440).

1140829920 is an abundant number, since it is smaller than the sum of its proper divisors (3239040960).

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

1140829920 is a wasteful number, since it uses less digits than its factorization.

1140829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1140829920 is about 33776.1738508079. The cubic root of 1140829920 is about 1044.8973655907.

It can be divided in two parts, 11408 and 29920, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 1140829920 in words is "one billion, one hundred forty million, eight hundred twenty-nine thousand, nine hundred twenty".