120778026408 has 576 divisors, whose sum is σ = 395573068800. Its totient is φ = 32976460800.

The previous prime is 120778026403. The next prime is 120778026433. The reversal of 120778026408 is 804620877021.

It is a super-4 number, since 4×120778026408⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (120778026403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 632345593 + ... + 632345783.

It is an arithmetic number, because the mean of its divisors is an integer number (686758800).

Almost surely, 2^120778026408 is an apocalyptic number.

120778026408 is a gapful number since it is divisible by the number (18) 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 120778026408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197786534400).

120778026408 is an abundant number, since it is smaller than the sum of its proper divisors (274795042392).

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

120778026408 is a wasteful number, since it uses less digits than its factorization.

120778026408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 120778026408 in words is "one hundred twenty billion, seven hundred seventy-eight million, twenty-six thousand, four hundred eight".