4921901936640 has 1664 divisors, whose sum is σ = 19498616524800. Its totient is φ = 1185029554176.

The previous prime is 4921901936621. The next prime is 4921901936641. The reversal of 4921901936640 is 466391091294.

It is a happy number.

4921901936640 is a `hidden beast` number, since 4 + 92 + 190 + 1 + 9 + 366 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4921901936641) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 45999083467 + ... + 45999083573.

Almost surely, 2^{4921901936640} is an apocalyptic number.

4921901936640 is a gapful number since it is divisible by the number (40) 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 4921901936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749308262400).

4921901936640 is an abundant number, since it is smaller than the sum of its proper divisors (14576714588160).

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

4921901936640 is an equidigital number, since it uses as much as digits as its factorization.

4921901936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 4921901936640 in words is "four trillion, nine hundred twenty-one billion, nine hundred one million, nine hundred thirty-six thousand, six hundred forty".