4921865456004 has 432 divisors, whose sum is σ = 16174427068800. Its totient is φ = 1250451965952.

The previous prime is 4921865455961. The next prime is 4921865456033. The reversal of 4921865456004 is 4006545681294.

It is a happy number.

4921865456004 is a `hidden beast` number, since 4 + 9 + 2 + 18 + 65 + 4 + 560 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212513377 + ... + 212536535.

It is an arithmetic number, because the mean of its divisors is an integer number (37440803400).

Almost surely, 2^{4921865456004} 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 4921865456004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087213534400).

4921865456004 is an abundant number, since it is smaller than the sum of its proper divisors (11252561612796).

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

4921865456004 is a wasteful number, since it uses less digits than its factorization.

4921865456004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23592 (or 23580 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 4921865456004 in words is "four trillion, nine hundred twenty-one billion, eight hundred sixty-five million, four hundred fifty-six thousand, four".