120748093440 has 624 divisors, whose sum is σ = 433856956320. Its totient is φ = 28626124800.

The previous prime is 120748093393. The next prime is 120748093457. The reversal of 120748093440 is 44390847021.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 120748093392 and 120748093401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301117240 + ... + 301117640.

Almost surely, 2^120748093440 is an apocalyptic number.

120748093440 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 120748093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216928478160).

120748093440 is an abundant number, since it is smaller than the sum of its proper divisors (313108862880).

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

120748093440 is a wasteful number, since it uses less digits than its factorization.

120748093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 120748093440 in words is "one hundred twenty billion, seven hundred forty-eight million, ninety-three thousand, four hundred forty".