4940528221440 has 864 divisors, whose sum is σ = 20427524732160. Its totient is φ = 1127429259264.

The previous prime is 4940528221411. The next prime is 4940528221457. The reversal of 4940528221440 is 441228250494.

4940528221440 is a `hidden beast` number, since 4 + 9 + 405 + 28 + 2 + 214 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1231128874 + ... + 1231132886.

It is an arithmetic number, because the mean of its divisors is an integer number (23642968440).

Almost surely, 2^{4940528221440} is an apocalyptic number.

4940528221440 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 4940528221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10213762366080).

4940528221440 is an abundant number, since it is smaller than the sum of its proper divisors (15486996510720).

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

4940528221440 is a wasteful number, since it uses less digits than its factorization.

4940528221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 4940528221440 in words is "four trillion, nine hundred forty billion, five hundred twenty-eight million, two hundred twenty-one thousand, four hundred forty".