1226029440 has 256 divisors, whose sum is σ = 4053888000. Its totient is φ = 315015168.

The previous prime is 1226029429. The next prime is 1226029481. The reversal of 1226029440 is 449206221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1226029398 and 1226029407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8949052 + ... + 8949188.

It is an arithmetic number, because the mean of its divisors is an integer number (15835500).

Almost surely, 2^1226029440 is an apocalyptic number.

1226029440 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 1226029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026944000).

1226029440 is an abundant number, since it is smaller than the sum of its proper divisors (2827858560).

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

1226029440 is a wasteful number, since it uses less digits than its factorization.

1226029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1226029440 is about 35014.7031973712. The cubic root of 1226029440 is about 1070.2871212474.

The spelling of 1226029440 in words is "one billion, two hundred twenty-six million, twenty-nine thousand, four hundred forty".