2301233725440 has 1280 divisors, whose sum is σ = 9174444048000. Its totient is φ = 543581798400.

The previous prime is 2301233725391. The next prime is 2301233725459. The reversal of 2301233725440 is 445273321032.

2301233725440 is a `hidden beast` number, since 2 + 3 + 0 + 12 + 33 + 72 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×2301233725440² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2301233725395 and 2301233725404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37725143010 + ... + 37725143070.

Almost surely, 2^{2301233725440} is an apocalyptic number.

2301233725440 is a gapful number since it is divisible by the number (20) 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 2301233725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587222024000).

2301233725440 is an abundant number, since it is smaller than the sum of its proper divisors (6873210322560).

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

2301233725440 is an frugal number, since it uses more digits than its factorization.

2301233725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 2301233725440 in words is "two trillion, three hundred one billion, two hundred thirty-three million, seven hundred twenty-five thousand, four hundred forty".