1356432998400 has 612 divisors, whose sum is σ = 5040449598912. Its totient is φ = 361609297920.

The previous prime is 1356432998399. The next prime is 1356432998419. The reversal of 1356432998400 is 48992346531.

1356432998400 is a `hidden beast` number, since 1 + 3 + 564 + 32 + 9 + 9 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 398129497 + ... + 398132903.

Almost surely, 2^{1356432998400} is an apocalyptic number.

1356432998400 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 1356432998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520224799456).

1356432998400 is an abundant number, since it is smaller than the sum of its proper divisors (3684016600512).

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

1356432998400 is an frugal number, since it uses more digits than its factorization.

1356432998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1356432998400 in words is "one trillion, three hundred fifty-six billion, four hundred thirty-two million, nine hundred ninety-eight thousand, four hundred".