1226034743040 has 864 divisors, whose sum is σ = 4485115514880. Its totient is φ = 308817100800.

The previous prime is 1226034743029. The next prime is 1226034743051. The reversal of 1226034743040 is 403474306221.

1226034743040 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 0 + 347 + 4 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1226034743029) and next prime (1226034743051).

It is a super-2 number, since 2×1226034743040² (a number of 25 digits) contains 22 as substring.

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 = 1226034742986 and 1226034743004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3415138381 + ... + 3415138739.

It is an arithmetic number, because the mean of its divisors is an integer number (5191105920).

Almost surely, 2^{1226034743040} is an apocalyptic number.

1226034743040 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 1226034743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242557757440).

1226034743040 is an abundant number, since it is smaller than the sum of its proper divisors (3259080771840).

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

1226034743040 is a wasteful number, since it uses less digits than its factorization.

1226034743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 1226034743040 in words is "one trillion, two hundred twenty-six billion, thirty-four million, seven hundred forty-three thousand, forty".