1530416332800 has 1026 divisors, whose sum is σ = 5874642126444. Its totient is φ = 394946150400.

The previous prime is 1530416332763. The next prime is 1530416332829. The reversal of 1530416332800 is 82336140351.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1530416332800 is a `hidden beast` number, since 1 + 5 + 304 + 16 + 332 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 49368268785 + ... + 49368268815.

Almost surely, 2^{1530416332800} is an apocalyptic number.

1530416332800 is a gapful number since it is divisible by the number (10) 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 1530416332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937321063222).

1530416332800 is an abundant number, since it is smaller than the sum of its proper divisors (4344225793644).

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

1530416332800 is an frugal number, since it uses more digits than its factorization.

1530416332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1530416332800 in words is "one trillion, five hundred thirty billion, four hundred sixteen million, three hundred thirty-two thousand, eight hundred".