2409401164800 has 1056 divisors, whose sum is σ = 9458727816960. Its totient is φ = 529426022400.

The previous prime is 2409401164771. The next prime is 2409401164801. The reversal of 2409401164800 is 84611049042.

It is a super-3 number, since 3×2409401164800³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2409401164801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1770316120 + ... + 1770317480.

Almost surely, 2^{2409401164800} is an apocalyptic number.

2409401164800 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 2409401164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729363908480).

2409401164800 is an abundant number, since it is smaller than the sum of its proper divisors (7049326652160).

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

2409401164800 is a wasteful number, since it uses less digits than its factorization.

2409401164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 2409401164800 in words is "two trillion, four hundred nine billion, four hundred one million, one hundred sixty-four thousand, eight hundred".