120454041600 has 624 divisors, whose sum is σ = 465995819200. Its totient is φ = 30417223680.

The previous prime is 120454041577. The next prime is 120454041601. The reversal of 120454041600 is 6140454021.

120454041600 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 54 + 0 + 4 + 1 + 600 = 666.

It is a super-2 number, since 2×120454041600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120454041601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52530054 + ... + 52532346.

Almost surely, 2^120454041600 is an apocalyptic number.

120454041600 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 120454041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232997909600).

120454041600 is an abundant number, since it is smaller than the sum of its proper divisors (345541777600).

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

120454041600 is a wasteful number, since it uses less digits than its factorization.

120454041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 120454041600 its reverse (6140454021), we get a palindrome (126594495621).

The spelling of 120454041600 in words is "one hundred twenty billion, four hundred fifty-four million, forty-one thousand, six hundred".