120891254077440 has 2880 divisors, whose sum is σ = 554977819075680. Its totient is φ = 24887552901120.

The previous prime is 120891254077439. The next prime is 120891254077453. The reversal of 120891254077440 is 44770452198021.

It is a happy number.

120891254077440 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 9 + 125 + 4 + 0 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×120891254077440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 50518700884 + ... + 50518703276.

Almost surely, 2^{120891254077440} is an apocalyptic number.

120891254077440 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 120891254077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277488909537840).

120891254077440 is an abundant number, since it is smaller than the sum of its proper divisors (434086564998240).

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

120891254077440 is a wasteful number, since it uses less digits than its factorization.

120891254077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 120891254077440 in words is "one hundred twenty trillion, eight hundred ninety-one billion, two hundred fifty-four million, seventy-seven thousand, four hundred forty".