109990280400000 has 4608 divisors, whose sum is σ = 507878533693440. Its totient is φ = 20727705600000.

The previous prime is 109990280399977. The next prime is 109990280400001. The reversal of 109990280400000 is 4082099901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (109990280400001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 866065199937 + ... + 866065200063.

It is an arithmetic number, because the mean of its divisors is an integer number (110216695680).

Almost surely, 2^{109990280400000} is an apocalyptic number.

109990280400000 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 109990280400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253939266846720).

109990280400000 is an abundant number, since it is smaller than the sum of its proper divisors (397888253293440).

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

109990280400000 is a wasteful number, since it uses less digits than its factorization.

109990280400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 109990280400000 in words is "one hundred nine trillion, nine hundred ninety billion, two hundred eighty million, four hundred thousand".