2416438026240 has 672 divisors, whose sum is σ = 9386122147200. Its totient is φ = 528284123136.

The previous prime is 2416438026227. The next prime is 2416438026257. The reversal of 2416438026240 is 426208346142.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2416438026192 and 2416438026201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138477036 + ... + 138494484.

Almost surely, 2^{2416438026240} is an apocalyptic number.

2416438026240 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 2416438026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693061073600).

2416438026240 is an abundant number, since it is smaller than the sum of its proper divisors (6969684120960).

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

2416438026240 is a wasteful number, since it uses less digits than its factorization.

2416438026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17520 (or 17489 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 2416438026240 in words is "two trillion, four hundred sixteen billion, four hundred thirty-eight million, twenty-six thousand, two hundred forty".