254401240142560 has 384 divisors, whose sum is σ = 732785737824000. Its totient is φ = 81610060922880.

The previous prime is 254401240142509. The next prime is 254401240142561. The reversal of 254401240142560 is 65241042104452.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254401240142561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197779254 + ... + 199061386.

It is an arithmetic number, because the mean of its divisors is an integer number (1908296192250).

Almost surely, 2^{254401240142560} is an apocalyptic number.

254401240142560 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 254401240142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366392868912000).

254401240142560 is an abundant number, since it is smaller than the sum of its proper divisors (478384497681440).

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

254401240142560 is a wasteful number, since it uses less digits than its factorization.

254401240142560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282374 (or 1282366 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 254401240142560 in words is "two hundred fifty-four trillion, four hundred one billion, two hundred forty million, one hundred forty-two thousand, five hundred sixty".