240054456574401 has 8 divisors (see below), whose sum is σ = 365797267161024. Its totient is φ = 137173975185360.

The previous prime is 240054456574399. The next prime is 240054456574403. The reversal of 240054456574401 is 104475654450042.

It is an interprime number because it is at equal distance from previous prime (240054456574399) and next prime (240054456574403).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 240054456574401 - 2¹ = 240054456574399 is a prime.

It is a super-2 number, since 2×240054456574401² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240054456574403) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5715582299370 + ... + 5715582299411.

It is an arithmetic number, because the mean of its divisors is an integer number (45724658395128).

Almost surely, 2^{240054456574401} is an apocalyptic number.

240054456574401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

240054456574401 is a deficient number, since it is larger than the sum of its proper divisors (125742810586623).

240054456574401 is a wasteful number, since it uses less digits than its factorization.

240054456574401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11431164598791.

The product of its (nonzero) digits is 10752000, while the sum is 51.

The spelling of 240054456574401 in words is "two hundred forty trillion, fifty-four billion, four hundred fifty-six million, five hundred seventy-four thousand, four hundred one".