1049330318400 has 1008 divisors, whose sum is σ = 4702434941568. Its totient is φ = 215986176000.

The previous prime is 1049330318371. The next prime is 1049330318401. The reversal of 1049330318400 is 48130339401.

1049330318400 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 330 + 318 + 4 + 0 + 0 = 666.

1049330318400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1049330318400² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1049330318401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53716635 + ... + 53736165.

Almost surely, 2^{1049330318400} is an apocalyptic number.

1049330318400 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 1049330318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351217470784).

1049330318400 is an abundant number, since it is smaller than the sum of its proper divisors (3653104623168).

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

1049330318400 is a wasteful number, since it uses less digits than its factorization.

1049330318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19620 (or 19602 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1049330318400 in words is "one trillion, forty-nine billion, three hundred thirty million, three hundred eighteen thousand, four hundred".