1383436454400 has 4800 divisors, whose sum is σ = 7261471236096. Its totient is φ = 250822656000.

The previous prime is 1383436454399. The next prime is 1383436454437. The reversal of 1383436454400 is 44546343831.

1383436454400 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 43 + 64 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 32172940779 + ... + 32172940821.

Almost surely, 2^{1383436454400} is an apocalyptic number.

1383436454400 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 1383436454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630735618048).

1383436454400 is an abundant number, since it is smaller than the sum of its proper divisors (5878034781696).

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

1383436454400 is a wasteful number, since it uses less digits than its factorization.

1383436454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 1383436454400 in words is "one trillion, three hundred eighty-three billion, four hundred thirty-six million, four hundred fifty-four thousand, four hundred".