1213740074400 has 360 divisors, whose sum is σ = 4608925572384. Its totient is φ = 277424985600.

The previous prime is 1213740074399. The next prime is 1213740074401. The reversal of 1213740074400 is 44700473121.

It is an interprime number because it is at equal distance from previous prime (1213740074399) and next prime (1213740074401).

It is not an unprimeable number, because it can be changed into a prime (1213740074401) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 5657085 + ... + 5867715.

Almost surely, 2^{1213740074400} is an apocalyptic number.

1213740074400 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 1213740074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304462786192).

1213740074400 is an abundant number, since it is smaller than the sum of its proper divisors (3395185497984).

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

1213740074400 is an equidigital number, since it uses as much as digits as its factorization.

1213740074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210682 (or 210648 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 1213740074400 in words is "one trillion, two hundred thirteen billion, seven hundred forty million, seventy-four thousand, four hundred".