1216290907440 has 960 divisors, whose sum is σ = 4833019166976. Its totient is φ = 268435980288.

The previous prime is 1216290907427. The next prime is 1216290907457. The reversal of 1216290907440 is 447090926121.

1216290907440 is a `hidden beast` number, since 12 + 1 + 629 + 0 + 9 + 0 + 7 + 4 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6174065422 + ... + 6174065618.

Almost surely, 2^{1216290907440} is an apocalyptic number.

1216290907440 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 1216290907440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416509583488).

1216290907440 is an abundant number, since it is smaller than the sum of its proper divisors (3616728259536).

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

1216290907440 is a wasteful number, since it uses less digits than its factorization.

1216290907440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1216290907440 in words is "one trillion, two hundred sixteen billion, two hundred ninety million, nine hundred seven thousand, four hundred forty".