1238404353120 has 1152 divisors, whose sum is σ = 5055435141120. Its totient is φ = 274992537600.

The previous prime is 1238404353119. The next prime is 1238404353149. The reversal of 1238404353120 is 213534048321.

1238404353120 is a `hidden beast` number, since 1 + 2 + 3 + 84 + 0 + 43 + 531 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1128900412 + ... + 1128901508.

It is an arithmetic number, because the mean of its divisors is an integer number (4388398560).

Almost surely, 2^{1238404353120} is an apocalyptic number.

1238404353120 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 1238404353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527717570560).

1238404353120 is an abundant number, since it is smaller than the sum of its proper divisors (3817030788000).

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

1238404353120 is a wasteful number, since it uses less digits than its factorization.

1238404353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1238404353120 in words is "one trillion, two hundred thirty-eight billion, four hundred four million, three hundred fifty-three thousand, one hundred twenty".