120403807349760 has 528 divisors, whose sum is σ = 455226969349152. Its totient is φ = 29182132224000.

The previous prime is 120403807349719. The next prime is 120403807349803. The reversal of 120403807349760 is 67943708304021.

120403807349760 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 0 + 3 + 80 + 73 + 497 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 120403807349697 and 120403807349706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2433506142 + ... + 2433555618.

It is an arithmetic number, because the mean of its divisors is an integer number (862172290434).

Almost surely, 2^{120403807349760} is an apocalyptic number.

120403807349760 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 120403807349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227613484674576).

120403807349760 is an abundant number, since it is smaller than the sum of its proper divisors (334823161999392).

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

120403807349760 is a wasteful number, since it uses less digits than its factorization.

120403807349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54320 (or 54299 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 120403807349760 in words is "one hundred twenty trillion, four hundred three billion, eight hundred seven million, three hundred forty-nine thousand, seven hundred sixty".