254213510040 has 384 divisors, whose sum is σ = 968786956800. Its totient is φ = 56611860480.

The previous prime is 254213509933. The next prime is 254213510041. The reversal of 254213510040 is 40015312452.

254213510040 is a `hidden beast` number, since 2 + 542 + 13 + 5 + 100 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 254213509986 and 254213510013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254213510041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16793275 + ... + 16808405.

It is an arithmetic number, because the mean of its divisors is an integer number (2522882700).

Almost surely, 2^254213510040 is an apocalyptic number.

254213510040 is a gapful number since it is divisible by the number (20) 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 254213510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484393478400).

254213510040 is an abundant number, since it is smaller than the sum of its proper divisors (714573446760).

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

254213510040 is a wasteful number, since it uses less digits than its factorization.

254213510040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15327 (or 15320 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 254213510040 its reverse (40015312452), we get a palindrome (294228822492).

The spelling of 254213510040 in words is "two hundred fifty-four billion, two hundred thirteen million, five hundred ten thousand, forty".