1216481792400 has 480 divisors, whose sum is σ = 4953482956800. Its totient is φ = 277762521600.

The previous prime is 1216481792387. The next prime is 1216481792401. The reversal of 1216481792400 is 42971846121.

1216481792400 is a `hidden beast` number, since 1 + 2 + 164 + 81 + 7 + 9 + 2 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1216481792401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77028505 + ... + 77044295.

It is an arithmetic number, because the mean of its divisors is an integer number (10319756160).

Almost surely, 2^{1216481792400} is an apocalyptic number.

1216481792400 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 1216481792400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476741478400).

1216481792400 is an abundant number, since it is smaller than the sum of its proper divisors (3737001164400).

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

1216481792400 is a wasteful number, since it uses less digits than its factorization.

1216481792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16844 (or 16827 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1216481792400 in words is "one trillion, two hundred sixteen billion, four hundred eighty-one million, seven hundred ninety-two thousand, four hundred".