4516154564400 has 180 divisors, whose sum is σ = 15675321601368. Its totient is φ = 1204076528640.

The previous prime is 4516154564351. The next prime is 4516154564413. The reversal of 4516154564400 is 44654516154.

4516154564400 is a `hidden beast` number, since 4 + 5 + 1 + 6 + 1 + 545 + 64 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19044964 + ... + 19280636.

Almost surely, 2^{4516154564400} is an apocalyptic number.

4516154564400 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 4516154564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837660800684).

4516154564400 is an abundant number, since it is smaller than the sum of its proper divisors (11159167036968).

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

4516154564400 is a wasteful number, since it uses less digits than its factorization.

4516154564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241020 (or 241006 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 4516154564400 in words is "four trillion, five hundred sixteen billion, one hundred fifty-four million, five hundred sixty-four thousand, four hundred".