1234128753360 has 240 divisors, whose sum is σ = 4156958979264. Its totient is φ = 328122482688.

The previous prime is 1234128753359. The next prime is 1234128753379. The reversal of 1234128753360 is 633578214321.

1234128753360 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 1 + 287 + 5 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1234128753360² (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 47 ways as a sum of consecutive naturals, for example, 584063664 + ... + 584065776.

Almost surely, 2^{1234128753360} is an apocalyptic number.

1234128753360 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 1234128753360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078479489632).

1234128753360 is an abundant number, since it is smaller than the sum of its proper divisors (2922830225904).

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

1234128753360 is a wasteful number, since it uses less digits than its factorization.

1234128753360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1234128753360 in words is "one trillion, two hundred thirty-four billion, one hundred twenty-eight million, seven hundred fifty-three thousand, three hundred sixty".