240408172010496 has 1408 divisors, whose sum is σ = 803796963840000. Its totient is φ = 63628344557568.

The previous prime is 240408172010471. The next prime is 240408172010509. The reversal of 240408172010496 is 694010271804042.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422509968100 + ... + 422509968668.

Almost surely, 2^{240408172010496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240408172010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401898481920000).

240408172010496 is an abundant number, since it is smaller than the sum of its proper divisors (563388791829504).

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

240408172010496 is a wasteful number, since it uses less digits than its factorization.

240408172010496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 240408172010496 in words is "two hundred forty trillion, four hundred eight billion, one hundred seventy-two million, ten thousand, four hundred ninety-six".