1229928643440 has 1200 divisors, whose sum is σ = 5104069122240. Its totient is φ = 273605713920.

The previous prime is 1229928643429. The next prime is 1229928643441. The reversal of 1229928643440 is 443468299221.

1229928643440 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 92 + 86 + 434 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1229928643441) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2006408574 + ... + 2006409186.

Almost surely, 2^{1229928643440} is an apocalyptic number.

1229928643440 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 1229928643440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552034561120).

1229928643440 is an abundant number, since it is smaller than the sum of its proper divisors (3874140478800).

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

1229928643440 is a wasteful number, since it uses less digits than its factorization.

1229928643440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1229928643440 in words is "one trillion, two hundred twenty-nine billion, nine hundred twenty-eight million, six hundred forty-three thousand, four hundred forty".