456610271040 has 2800 divisors, whose sum is σ = 2231347409280. Its totient is φ = 87625359360.

The previous prime is 456610271027. The next prime is 456610271041. The reversal of 456610271040 is 40172016654.

456610271040 is a `hidden beast` number, since 4 + 5 + 6 + 610 + 27 + 10 + 4 + 0 = 666.

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 = 456610270986 and 456610271004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456610271041) by changing a digit.

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 399 ways as a sum of consecutive naturals, for example, 15745181746 + ... + 15745181774.

Almost surely, 2^456610271040 is an apocalyptic number.

456610271040 is a gapful number since it is divisible by the number (40) 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 456610271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115673704640).

456610271040 is an abundant number, since it is smaller than the sum of its proper divisors (1774737138240).

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

456610271040 is a wasteful number, since it uses less digits than its factorization.

456610271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 456610271040 its reverse (40172016654), we get a palindrome (496782287694).

The spelling of 456610271040 in words is "four hundred fifty-six billion, six hundred ten million, two hundred seventy-one thousand, forty".