1226045040 has 320 divisors, whose sum is σ = 4360863744. Its totient is φ = 282240000.

The previous prime is 1226045011. The next prime is 1226045057. The reversal of 1226045040 is 405406221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1226045040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5810535 + ... + 5810745.

Almost surely, 2^1226045040 is an apocalyptic number.

1226045040 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 1226045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180431872).

1226045040 is an abundant number, since it is smaller than the sum of its proper divisors (3134818704).

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

1226045040 is a wasteful number, since it uses less digits than its factorization.

1226045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1226045040 is about 35014.9259602244. The cubic root of 1226045040 is about 1070.2916606730.

The spelling of 1226045040 in words is "one billion, two hundred twenty-six million, forty-five thousand, forty".