2400414522440 has 64 divisors (see below), whose sum is σ = 5893246264320. Its totient is φ = 872682496000.

The previous prime is 2400414522397. The next prime is 2400414522449. The reversal of 2400414522440 is 442254140042.

It is a junction number, because it is equal to n+sod(n) for n = 2400414522397 and 2400414522406.

It is not an unprimeable number, because it can be changed into a prime (2400414522449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1362905 + ... + 2580375.

It is an arithmetic number, because the mean of its divisors is an integer number (92081972880).

Almost surely, 2^{2400414522440} is an apocalyptic number.

2400414522440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400414522440 is an abundant number, since it is smaller than the sum of its proper divisors (3492831741880).

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

2400414522440 is a wasteful number, since it uses less digits than its factorization.

2400414522440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221974 (or 1221970 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

Adding to 2400414522440 its reverse (442254140042), we get a palindrome (2842668662482).

The spelling of 2400414522440 in words is "two trillion, four hundred billion, four hundred fourteen million, five hundred twenty-two thousand, four hundred forty".