495535118400 has 1008 divisors, whose sum is σ = 2104890278400. Its totient is φ = 110457446400.

The previous prime is 495535118341. The next prime is 495535118437. The reversal of 495535118400 is 4811535594.

It is a happy number.

495535118400 is a `hidden beast` number, since 4 + 9 + 5 + 53 + 511 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202505977 + ... + 202508423.

It is an arithmetic number, because the mean of its divisors is an integer number (2088184800).

Almost surely, 2^495535118400 is an apocalyptic number.

495535118400 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 495535118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052445139200).

495535118400 is an abundant number, since it is smaller than the sum of its proper divisors (1609355160000).

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

495535118400 is a wasteful number, since it uses less digits than its factorization.

495535118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 495535118400 in words is "four hundred ninety-five billion, five hundred thirty-five million, one hundred eighteen thousand, four hundred".