4478545520640 has 1152 divisors, whose sum is σ = 16980448867200. Its totient is φ = 1130374103040.

The previous prime is 4478545520629. The next prime is 4478545520651. The reversal of 4478545520640 is 460255458744.

4478545520640 is a `hidden beast` number, since 4 + 4 + 7 + 8 + 54 + 5 + 520 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4478545520629) and next prime (4478545520651).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3824547255 + ... + 3824548425.

It is an arithmetic number, because the mean of its divisors is an integer number (14739972975).

Almost surely, 2^{4478545520640} is an apocalyptic number.

4478545520640 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 4478545520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8490224433600).

4478545520640 is an abundant number, since it is smaller than the sum of its proper divisors (12501903346560).

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

4478545520640 is a wasteful number, since it uses less digits than its factorization.

4478545520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 4478545520640 in words is "four trillion, four hundred seventy-eight billion, five hundred forty-five million, five hundred twenty thousand, six hundred forty".