107994133440 has 448 divisors, whose sum is σ = 409592678400. Its totient is φ = 26700337152.

The previous prime is 107994133439. The next prime is 107994133441. The reversal of 107994133440 is 44331499701.

107994133440 is a `hidden beast` number, since 1 + 0 + 79 + 9 + 4 + 133 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (107994133439) and next prime (107994133441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107994133441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7708522 + ... + 7722518.

Almost surely, 2^107994133440 is an apocalyptic number.

107994133440 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 107994133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204796339200).

107994133440 is an abundant number, since it is smaller than the sum of its proper divisors (301598544960).

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

107994133440 is a wasteful number, since it uses less digits than its factorization.

107994133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14089 (or 14073 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 107994133440 in words is "one hundred seven billion, nine hundred ninety-four million, one hundred thirty-three thousand, four hundred forty".