254074441940 has 96 divisors (see below), whose sum is σ = 601108300800. Its totient is φ = 89370086400.

The previous prime is 254074441927. The next prime is 254074441949. The reversal of 254074441940 is 49144470452.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 254074441891 and 254074441900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254074441949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17949986 + ... + 17964134.

It is an arithmetic number, because the mean of its divisors is an integer number (6261544800).

Almost surely, 2^254074441940 is an apocalyptic number.

254074441940 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 254074441940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300554150400).

254074441940 is an abundant number, since it is smaller than the sum of its proper divisors (347033858860).

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

254074441940 is a wasteful number, since it uses less digits than its factorization.

254074441940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16833 (or 16831 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 254074441940 in words is "two hundred fifty-four billion, seventy-four million, four hundred forty-one thousand, nine hundred forty".