1041949440 has 576 divisors, whose sum is σ = 4356172800. Its totient is φ = 230916096.

The previous prime is 1041949423. The next prime is 1041949481. The reversal of 1041949440 is 449491401.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 1041949395 and 1041949404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14273244 + ... + 14273316.

It is an arithmetic number, because the mean of its divisors is an integer number (7562800).

Almost surely, 2^1041949440 is an apocalyptic number.

1041949440 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 1041949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178086400).

1041949440 is an abundant number, since it is smaller than the sum of its proper divisors (3314223360).

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

1041949440 is an equidigital number, since it uses as much as digits as its factorization.

1041949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1041949440 is about 32279.2416267793. The cubic root of 1041949440 is about 1013.7920514717.

The spelling of 1041949440 in words is "one billion, forty-one million, nine hundred forty-nine thousand, four hundred forty".