1245353774400 has 504 divisors, whose sum is σ = 4726667712000. Its totient is φ = 310296268800.

The previous prime is 1245353774393. The next prime is 1245353774411. The reversal of 1245353774400 is 44773535421.

It is a happy number.

1245353774400 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 3 + 537 + 74 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12897501 + ... + 12993699.

Almost surely, 2^{1245353774400} is an apocalyptic number.

1245353774400 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 1245353774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363333856000).

1245353774400 is an abundant number, since it is smaller than the sum of its proper divisors (3481313937600).

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

1245353774400 is a wasteful number, since it uses less digits than its factorization.

1245353774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96287 (or 96269 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 1245353774400 in words is "one trillion, two hundred forty-five billion, three hundred fifty-three million, seven hundred seventy-four thousand, four hundred".