1103959382400 has 1152 divisors, whose sum is σ = 4794307876800. Its totient is φ = 236118343680.

The previous prime is 1103959382399. The next prime is 1103959382431. The reversal of 1103959382400 is 42839593011.

It is a happy number.

1103959382400 is a `hidden beast` number, since 1 + 1 + 0 + 39 + 593 + 8 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×1103959382400³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 661448766 + ... + 661450434.

Almost surely, 2^{1103959382400} is an apocalyptic number.

1103959382400 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 1103959382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397153938400).

1103959382400 is an abundant number, since it is smaller than the sum of its proper divisors (3690348494400).

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

1103959382400 is a wasteful number, since it uses less digits than its factorization.

1103959382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1103959382400 in words is "one trillion, one hundred three billion, nine hundred fifty-nine million, three hundred eighty-two thousand, four hundred".