2355121440 has 384 divisors, whose sum is σ = 9918720000. Its totient is φ = 509856768.

The previous prime is 2355121427. The next prime is 2355121477. The reversal of 2355121440 is 441215532.

2355121440 is a `hidden beast` number, since 2 + 3 + 5 + 512 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 572511 + ... + 576609.

It is an arithmetic number, because the mean of its divisors is an integer number (25830000).

Almost surely, 2^2355121440 is an apocalyptic number.

2355121440 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 2355121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959360000).

2355121440 is an abundant number, since it is smaller than the sum of its proper divisors (7563598560).

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

2355121440 is a wasteful number, since it uses less digits than its factorization.

2355121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2355121440 is about 48529.5934456492. The cubic root of 2355121440 is about 1330.4680057230.

Adding to 2355121440 its reverse (441215532), we get a palindrome (2796336972).

The spelling of 2355121440 in words is "two billion, three hundred fifty-five million, one hundred twenty-one thousand, four hundred forty".