1463866538400 has 360 divisors, whose sum is σ = 6101072318880. Its totient is φ = 334597962240.

The previous prime is 1463866538371. The next prime is 1463866538401. The reversal of 1463866538400 is 48356683641.

1463866538400 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 8 + 66 + 538 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (1463866538401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1160010 + ... + 2067209.

It is an arithmetic number, because the mean of its divisors is an integer number (16947423108).

Almost surely, 2^{1463866538400} is an apocalyptic number.

1463866538400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1463866538400 is an abundant number, since it is smaller than the sum of its proper divisors (4637205780480).

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

1463866538400 is a wasteful number, since it uses less digits than its factorization.

1463866538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227258 (or 3227236 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 1463866538400 in words is "one trillion, four hundred sixty-three billion, eight hundred sixty-six million, five hundred thirty-eight thousand, four hundred".