257402416040 has 128 divisors (see below), whose sum is σ = 723162021120. Its totient is φ = 80107315200.

The previous prime is 257402415983. The next prime is 257402416121. The reversal of 257402416040 is 40614204752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1972664 + ... + 2099096.

It is an arithmetic number, because the mean of its divisors is an integer number (5649703290).

Almost surely, 2^257402416040 is an apocalyptic number.

257402416040 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 257402416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361581010560).

257402416040 is an abundant number, since it is smaller than the sum of its proper divisors (465759605080).

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

257402416040 is a wasteful number, since it uses less digits than its factorization.

257402416040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127123 (or 127119 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 257402416040 in words is "two hundred fifty-seven billion, four hundred two million, four hundred sixteen thousand, forty".