1249765440 has 672 divisors, whose sum is σ = 5253776640. Its totient is φ = 246005760.

The previous prime is 1249765417. The next prime is 1249765453. The reversal of 1249765440 is 445679421.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1249765392 and 1249765401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23580454 + ... + 23580506.

It is an arithmetic number, because the mean of its divisors is an integer number (7818120).

Almost surely, 2^1249765440 is an apocalyptic number.

1249765440 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 1249765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626888320).

1249765440 is an abundant number, since it is smaller than the sum of its proper divisors (4004011200).

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

1249765440 is a wasteful number, since it uses less digits than its factorization.

1249765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 1249765440 is about 35352.0217243654. The cubic root of 1249765440 is about 1077.1499615742.

The spelling of 1249765440 in words is "one billion, two hundred forty-nine million, seven hundred sixty-five thousand, four hundred forty".