2385404144640 has 2112 divisors, whose sum is σ = 10098044236800. Its totient is φ = 518136791040.

The previous prime is 2385404144639. The next prime is 2385404144647. The reversal of 2385404144640 is 464414045832.

It is a happy number.

2385404144640 is a `hidden beast` number, since 2 + 3 + 8 + 540 + 4 + 1 + 44 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2385404144647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26802293716 + ... + 26802293804.

Almost surely, 2^{2385404144640} is an apocalyptic number.

2385404144640 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 2385404144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049022118400).

2385404144640 is an abundant number, since it is smaller than the sum of its proper divisors (7712640092160).

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

2385404144640 is a wasteful number, since it uses less digits than its factorization.

2385404144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 2385404144640 in words is "two trillion, three hundred eighty-five billion, four hundred four million, one hundred forty-four thousand, six hundred forty".