1267783440 has 320 divisors, whose sum is σ = 5060247552. Its totient is φ = 254822400.

The previous prime is 1267783393. The next prime is 1267783441. The reversal of 1267783440 is 443877621.

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 = 1267783392 and 1267783401.

It is not an unprimeable number, because it can be changed into a prime (1267783441) by changing a digit.

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, 571774 + ... + 573986.

Almost surely, 2^1267783440 is an apocalyptic number.

1267783440 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 1267783440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530123776).

1267783440 is an abundant number, since it is smaller than the sum of its proper divisors (3792464112).

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

1267783440 is a wasteful number, since it uses less digits than its factorization.

1267783440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 1267783440 is about 35605.9466943375. The cubic root of 1267783440 is about 1082.3017438856.

The spelling of 1267783440 in words is "one billion, two hundred sixty-seven million, seven hundred eighty-three thousand, four hundred forty".