1226791440 has 480 divisors, whose sum is σ = 5017714560. Its totient is φ = 274627584.

The previous prime is 1226791429. The next prime is 1226791469. The reversal of 1226791440 is 441976221.

It is a happy number.

1226791440 is a `hidden beast` number, since 122 + 6 + 7 + 91 + 440 = 666.

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 = 1226791395 and 1226791404.

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 95 ways as a sum of consecutive naturals, for example, 7091194 + ... + 7091366.

It is an arithmetic number, because the mean of its divisors is an integer number (10453572).

Almost surely, 2^1226791440 is an apocalyptic number.

1226791440 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 1226791440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508857280).

1226791440 is an abundant number, since it is smaller than the sum of its proper divisors (3790923120).

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

1226791440 is a wasteful number, since it uses less digits than its factorization.

1226791440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1226791440 is about 35025.5826504000. The cubic root of 1226791440 is about 1070.5088097475.

The spelling of 1226791440 in words is "one billion, two hundred twenty-six million, seven hundred ninety-one thousand, four hundred forty".