1353226046400 has 420 divisors, whose sum is σ = 5013345815808. Its totient is φ = 358014504960.

The previous prime is 1353226046369. The next prime is 1353226046401. The reversal of 1353226046400 is 46406223531.

1353226046400 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 2 + 2 + 6 + 0 + 4 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353226046401) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 16418092 + ... + 16500308.

Almost surely, 2^{1353226046400} is an apocalyptic number.

1353226046400 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 1353226046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506672907904).

1353226046400 is an abundant number, since it is smaller than the sum of its proper divisors (3660119769408).

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

1353226046400 is a wasteful number, since it uses less digits than its factorization.

1353226046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82378 (or 82354 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1353226046400 in words is "one trillion, three hundred fifty-three billion, two hundred twenty-six million, forty-six thousand, four hundred".