1233457505280 has 3168 divisors, whose sum is σ = 6159806984448. Its totient is φ = 222670356480.

The previous prime is 1233457505261. The next prime is 1233457505327. The reversal of 1233457505280 is 825057543321.

1233457505280 is a `hidden beast` number, since 1 + 2 + 33 + 45 + 7 + 50 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×1233457505280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72556323832 + ... + 72556323848.

Almost surely, 2^{1233457505280} is an apocalyptic number.

1233457505280 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 1233457505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079903492224).

1233457505280 is an abundant number, since it is smaller than the sum of its proper divisors (4926349479168).

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

1233457505280 is a wasteful number, since it uses less digits than its factorization.

1233457505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 1233457505280 in words is "one trillion, two hundred thirty-three billion, four hundred fifty-seven million, five hundred five thousand, two hundred eighty".