2401421205504 has 672 divisors, whose sum is σ = 7170170673600. Its totient is φ = 713744711680.

The previous prime is 2401421205457. The next prime is 2401421205539. The reversal of 2401421205504 is 4055021241042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18331459519 + ... + 18331459649.

Almost surely, 2^{2401421205504} is an apocalyptic number.

2401421205504 is a gapful number since it is divisible by the number (24) 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 2401421205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585085336800).

2401421205504 is an abundant number, since it is smaller than the sum of its proper divisors (4768749468096).

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

2401421205504 is a wasteful number, since it uses less digits than its factorization.

2401421205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 2401421205504 its reverse (4055021241042), we get a palindrome (6456442446546).

The spelling of 2401421205504 in words is "two trillion, four hundred one billion, four hundred twenty-one million, two hundred five thousand, five hundred four".