254254200121440 has 120 divisors (see below), whose sum is σ = 897305447974320. Its totient is φ = 67801120028928.

The previous prime is 254254200121381. The next prime is 254254200121459. The reversal of 254254200121440 is 44121002452452.

254254200121440 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 5 + 4 + 200 + 1 + 2 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×254254200121440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 254254200121395 and 254254200121404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9809176860 + ... + 9809202779.

It is an arithmetic number, because the mean of its divisors is an integer number (7477545399786).

Almost surely, 2^{254254200121440} is an apocalyptic number.

254254200121440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254254200121440 is an abundant number, since it is smaller than the sum of its proper divisors (643051247852880).

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

254254200121440 is a wasteful number, since it uses less digits than its factorization.

254254200121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19618379666 (or 19618379649 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 254254200121440 its reverse (44121002452452), we get a palindrome (298375202573892).

The spelling of 254254200121440 in words is "two hundred fifty-four trillion, two hundred fifty-four billion, two hundred million, one hundred twenty-one thousand, four hundred forty".