4569054618240 has 1024 divisors, whose sum is σ = 19632098304000. Its totient is φ = 980391886848.

The previous prime is 4569054618239. The next prime is 4569054618313. The reversal of 4569054618240 is 428164509654.

It is a happy number.

4569054618240 is a `hidden beast` number, since 4 + 5 + 6 + 90 + 546 + 1 + 8 + 2 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 861595429 + ... + 861600731.

It is an arithmetic number, because the mean of its divisors is an integer number (19171971000).

Almost surely, 2^{4569054618240} is an apocalyptic number.

4569054618240 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 4569054618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9816049152000).

4569054618240 is an abundant number, since it is smaller than the sum of its proper divisors (15063043685760).

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

4569054618240 is a wasteful number, since it uses less digits than its factorization.

4569054618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5756 counting only the distinct ones).

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

The spelling of 4569054618240 in words is "four trillion, five hundred sixty-nine billion, fifty-four million, six hundred eighteen thousand, two hundred forty".