1107661401600 has 480 divisors, whose sum is σ = 3990581253120. Its totient is φ = 269194199040.

The previous prime is 1107661401593. The next prime is 1107661401661. The reversal of 1107661401600 is 61041667011.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39422757 + ... + 39450843.

It is an arithmetic number, because the mean of its divisors is an integer number (8313710944).

Almost surely, 2^{1107661401600} is an apocalyptic number.

1107661401600 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 1107661401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995290626560).

1107661401600 is an abundant number, since it is smaller than the sum of its proper divisors (2882919851520).

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

1107661401600 is a wasteful number, since it uses less digits than its factorization.

1107661401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28210 (or 28189 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 1107661401600 in words is "one trillion, one hundred seven billion, six hundred sixty-one million, four hundred one thousand, six hundred".