1213290446400 has 588 divisors, whose sum is σ = 4630610030100. Its totient is φ = 312378716160.

The previous prime is 1213290446359. The next prime is 1213290446441. The reversal of 1213290446400 is 46440923121.

1213290446400 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 2 + 9 + 0 + 4 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1213290446359) and next prime (1213290446441).

It can be written as a sum of positive squares in 6 ways, for example, as 13056261696 + 1200234184704 = 114264^2 + 1095552^2 .

It is a super-2 number, since 2×1213290446400² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 33807666 + ... + 33843534.

Almost surely, 2^{1213290446400} is an apocalyptic number.

1213290446400 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 1213290446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315305015050).

1213290446400 is an abundant number, since it is smaller than the sum of its proper divisors (3417319583700).

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

1213290446400 is an equidigital number, since it uses as much as digits as its factorization.

1213290446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35938 (or 35908 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1213290446400 in words is "one trillion, two hundred thirteen billion, two hundred ninety million, four hundred forty-six thousand, four hundred".