1107007070400 has 2016 divisors, whose sum is σ = 5129564544000. Its totient is φ = 219702067200.

The previous prime is 1107007070317. The next prime is 1107007070423. The reversal of 1107007070400 is 40707007011.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5562849501 + ... + 5562849699.

Almost surely, 2^{1107007070400} is an apocalyptic number.

1107007070400 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 1107007070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564782272000).

1107007070400 is an abundant number, since it is smaller than the sum of its proper divisors (4022557473600).

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

1107007070400 is a wasteful number, since it uses less digits than its factorization.

1107007070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The spelling of 1107007070400 in words is "one trillion, one hundred seven billion, seven million, seventy thousand, four hundred".