478041695040 has 1344 divisors, whose sum is σ = 1987562078208. Its totient is φ = 96380928000.

The previous prime is 478041694993. The next prime is 478041695069. The reversal of 478041695040 is 40596140874.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 191 ways as a sum of consecutive naturals, for example, 2862525037 + ... + 2862525203.

It is an arithmetic number, because the mean of its divisors is an integer number (1478840832).

Almost surely, 2^478041695040 is an apocalyptic number.

478041695040 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 478041695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993781039104).

478041695040 is an abundant number, since it is smaller than the sum of its proper divisors (1509520383168).

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

478041695040 is a wasteful number, since it uses less digits than its factorization.

478041695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 478041695040 in words is "four hundred seventy-eight billion, forty-one million, six hundred ninety-five thousand, forty".