2400465306400 has 432 divisors, whose sum is σ = 7067509775424. Its totient is φ = 779773040640.

The previous prime is 2400465306391. The next prime is 2400465306403. The reversal of 2400465306400 is 46035640042.

It is not an unprimeable number, because it can be changed into a prime (2400465306403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 316973014 + ... + 316980586.

It is an arithmetic number, because the mean of its divisors is an integer number (16359976332).

Almost surely, 2^{2400465306400} is an apocalyptic number.

2400465306400 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 2400465306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533754887712).

2400465306400 is an abundant number, since it is smaller than the sum of its proper divisors (4667044469024).

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

2400465306400 is a wasteful number, since it uses less digits than its factorization.

2400465306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 2400465306400 in words is "two trillion, four hundred billion, four hundred sixty-five million, three hundred six thousand, four hundred".