457785095040 has 1152 divisors, whose sum is σ = 2054119223520. Its totient is φ = 96566722560.

The previous prime is 457785095039. The next prime is 457785095093. The reversal of 457785095040 is 40590587754.

457785095040 is a `hidden beast` number, since 4 + 57 + 7 + 85 + 0 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 99063930 + ... + 99068550.

Almost surely, 2^457785095040 is an apocalyptic number.

457785095040 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 457785095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027059611760).

457785095040 is an abundant number, since it is smaller than the sum of its proper divisors (1596334128480).

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

457785095040 is a wasteful number, since it uses less digits than its factorization.

457785095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 457785095040 in words is "four hundred fifty-seven billion, seven hundred eighty-five million, ninety-five thousand, forty".