2416117507440 has 480 divisors, whose sum is σ = 9791004335616. Its totient is φ = 487609436160.

The previous prime is 2416117507439. The next prime is 2416117507451. The reversal of 2416117507440 is 447057116142.

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 = 2416117507392 and 2416117507401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3172675 + ... + 3859805.

Almost surely, 2^{2416117507440} is an apocalyptic number.

2416117507440 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 2416117507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895502167808).

2416117507440 is an abundant number, since it is smaller than the sum of its proper divisors (7374886828176).

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

2416117507440 is a wasteful number, since it uses less digits than its factorization.

2416117507440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687197 (or 687184 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 2416117507440 in words is "two trillion, four hundred sixteen billion, one hundred seventeen million, five hundred seven thousand, four hundred forty".