1104950246400 has 2112 divisors, whose sum is σ = 5451494415360. Its totient is φ = 211805798400.

The previous prime is 1104950246383. The next prime is 1104950246429. The reversal of 1104950246400 is 46420594011.

1104950246400 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 9 + 5 + 0 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 691890402 + ... + 691891998.

Almost surely, 2^{1104950246400} is an apocalyptic number.

1104950246400 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 1104950246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725747207680).

1104950246400 is an abundant number, since it is smaller than the sum of its proper divisors (4346544168960).

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

1104950246400 is a wasteful number, since it uses less digits than its factorization.

1104950246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1104950246400 in words is "one trillion, one hundred four billion, nine hundred fifty million, two hundred forty-six thousand, four hundred".