1229434257408 has 288 divisors, whose sum is σ = 3777409327104. Its totient is φ = 348401958912.

The previous prime is 1229434257353. The next prime is 1229434257409. The reversal of 1229434257408 is 8047524349221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1229434257409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349567266 + ... + 349570782.

It is an arithmetic number, because the mean of its divisors is an integer number (13116004608).

Almost surely, 2^{1229434257408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229434257408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888704663552).

1229434257408 is an abundant number, since it is smaller than the sum of its proper divisors (2547975069696).

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

1229434257408 is an frugal number, since it uses more digits than its factorization.

1229434257408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 1229434257408 in words is "one trillion, two hundred twenty-nine billion, four hundred thirty-four million, two hundred fifty-seven thousand, four hundred eight".