2400442424440 has 64 divisors (see below), whose sum is σ = 5443613733600. Its totient is φ = 952609946112.

The previous prime is 2400442424423. The next prime is 2400442424461. The reversal of 2400442424440 is 444242440042.

It is a junction number, because it is equal to n+sod(n) for n = 2400442424396 and 2400442424405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7930114 + ... + 8227246.

Almost surely, 2^{2400442424440} is an apocalyptic number.

2400442424440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400442424440 is an abundant number, since it is smaller than the sum of its proper divisors (3043171309160).

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

2400442424440 is a wasteful number, since it uses less digits than its factorization.

2400442424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298736 (or 298732 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 2400442424440 its reverse (444242440042), we get a palindrome (2844684864482).

The spelling of 2400442424440 in words is "two trillion, four hundred billion, four hundred forty-two million, four hundred twenty-four thousand, four hundred forty".