254020106400 has 144 divisors (see below), whose sum is σ = 875472966144. Its totient is φ = 63754055680.

The previous prime is 254020106387. The next prime is 254020106401. The reversal of 254020106400 is 4601020452.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (254020106401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3072192 + ... + 3153791.

It is an arithmetic number, because the mean of its divisors is an integer number (6079673376).

Almost surely, 2^254020106400 is an apocalyptic number.

254020106400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254020106400 is an abundant number, since it is smaller than the sum of its proper divisors (621452859744).

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

254020106400 is a wasteful number, since it uses less digits than its factorization.

254020106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226023 (or 6226010 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 254020106400 its reverse (4601020452), we get a palindrome (258621126852).

The spelling of 254020106400 in words is "two hundred fifty-four billion, twenty million, one hundred six thousand, four hundred".