1249943040 has 120 divisors (see below), whose sum is σ = 4328984088. Its totient is φ = 333312000.

The previous prime is 1249943029. The next prime is 1249943041. The reversal of 1249943040 is 403499421.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1249942986 and 1249943004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249943041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4086 + ... + 50165.

Almost surely, 2^1249943040 is an apocalyptic number.

1249943040 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 1249943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164492044).

1249943040 is an abundant number, since it is smaller than the sum of its proper divisors (3079041048).

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

1249943040 is an equidigital number, since it uses as much as digits as its factorization.

1249943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54280 (or 54261 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1249943040 is about 35354.5335141054. The cubic root of 1249943040 is about 1077.2009825541.

The spelling of 1249943040 in words is "one billion, two hundred forty-nine million, nine hundred forty-three thousand, forty".