1107149440320 has 672 divisors, whose sum is σ = 4752898166016. Its totient is φ = 229810176000.

The previous prime is 1107149440273. The next prime is 1107149440403. The reversal of 1107149440320 is 230449417011.

1107149440320 is a `hidden beast` number, since 1 + 107 + 1 + 494 + 40 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 266331682 + ... + 266335838.

It is an arithmetic number, because the mean of its divisors is an integer number (7072765128).

Almost surely, 2^{1107149440320} is an apocalyptic number.

1107149440320 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 1107149440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376449083008).

1107149440320 is an abundant number, since it is smaller than the sum of its proper divisors (3645748725696).

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

1107149440320 is a wasteful number, since it uses less digits than its factorization.

1107149440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5399 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1107149440320 in words is "one trillion, one hundred seven billion, one hundred forty-nine million, four hundred forty thousand, three hundred twenty".