254061464040 has 192 divisors, whose sum is σ = 834795234000. Its totient is φ = 67004928000.

The previous prime is 254061463991. The next prime is 254061464071. The reversal of 254061464040 is 40464160452.

254061464040 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 6 + 1 + 4 + 640 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 253272640644 + 788823396 = 503262^2 + 28086^2 .

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 = 254061463986 and 254061464004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38138310 + ... + 38144970.

Almost surely, 2^254061464040 is an apocalyptic number.

254061464040 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 254061464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417397617000).

254061464040 is an abundant number, since it is smaller than the sum of its proper divisors (580733769960).

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

254061464040 is a wasteful number, since it uses less digits than its factorization.

254061464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828 (or 7821 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 254061464040 in words is "two hundred fifty-four billion, sixty-one million, four hundred sixty-four thousand, forty".