2404128190464 has 2496 divisors, whose sum is σ = 10258350735360. Its totient is φ = 541776936960.

The previous prime is 2404128190447. The next prime is 2404128190487. The reversal of 2404128190464 is 4640918214042.

2404128190464 is a `hidden beast` number, since 2 + 4 + 0 + 412 + 8 + 190 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18930143169 + ... + 18930143295.

It is an arithmetic number, because the mean of its divisors is an integer number (4109916160).

Almost surely, 2^{2404128190464} is an apocalyptic number.

2404128190464 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 2404128190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129175367680).

2404128190464 is an abundant number, since it is smaller than the sum of its proper divisors (7854222544896).

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

2404128190464 is a wasteful number, since it uses less digits than its factorization.

2404128190464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2404128190464 in words is "two trillion, four hundred four billion, one hundred twenty-eight million, one hundred ninety thousand, four hundred sixty-four".