2640448170400 has 72 divisors (see below), whose sum is σ = 6567616731564. Its totient is φ = 1036251340800.

The previous prime is 2640448170391. The next prime is 2640448170401. The reversal of 2640448170400 is 40718440462.

2640448170400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1612422515344 + 1028025655056 = 1269812^2 + 1013916^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2640448170401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31094961 + ... + 31179760.

Almost surely, 2^{2640448170400} is an apocalyptic number.

2640448170400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2640448170400 is an abundant number, since it is smaller than the sum of its proper divisors (3927168561164).

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

2640448170400 is a wasteful number, since it uses less digits than its factorization.

2640448170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62274794 (or 62274781 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 2640448170400 in words is "two trillion, six hundred forty billion, four hundred forty-eight million, one hundred seventy thousand, four hundred".