25434015344640 has 1920 divisors, whose sum is σ = 110173987123200. Its totient is φ = 5482266624000.

The previous prime is 25434015344627. The next prime is 25434015344651. The reversal of 25434015344640 is 4644351043452.

25434015344640 is a `hidden beast` number, since 2 + 5 + 4 + 34 + 0 + 1 + 534 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33866864265 + ... + 33866865015.

It is an arithmetic number, because the mean of its divisors is an integer number (57382284960).

Almost surely, 2^{25434015344640} is an apocalyptic number.

25434015344640 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 25434015344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55086993561600).

25434015344640 is an abundant number, since it is smaller than the sum of its proper divisors (84739971778560).

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

25434015344640 is a wasteful number, since it uses less digits than its factorization.

25434015344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 25434015344640 in words is "twenty-five trillion, four hundred thirty-four billion, fifteen million, three hundred forty-four thousand, six hundred forty".