1225438502400 has 1680 divisors, whose sum is σ = 5294182427424. Its totient is φ = 275188285440.

The previous prime is 1225438502357. The next prime is 1225438502411. The reversal of 1225438502400 is 42058345221.

1225438502400 is a `hidden beast` number, since 1 + 2 + 254 + 385 + 0 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4768243072 + ... + 4768243328.

Almost surely, 2^{1225438502400} is an apocalyptic number.

1225438502400 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 1225438502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647091213712).

1225438502400 is an abundant number, since it is smaller than the sum of its proper divisors (4068743925024).

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

1225438502400 is an frugal number, since it uses more digits than its factorization.

1225438502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 1225438502400 in words is "one trillion, two hundred twenty-five billion, four hundred thirty-eight million, five hundred two thousand, four hundred".