478071901440 has 1152 divisors, whose sum is σ = 2028673597440. Its totient is φ = 105614254080.

The previous prime is 478071901429. The next prime is 478071901501. The reversal of 478071901440 is 44109170874.

It is a happy number.

478071901440 is a `hidden beast` number, since 47 + 80 + 7 + 1 + 90 + 1 + 440 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 607460727 + ... + 607461513.

Almost surely, 2^478071901440 is an apocalyptic number.

478071901440 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 478071901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014336798720).

478071901440 is an abundant number, since it is smaller than the sum of its proper divisors (1550601696000).

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

478071901440 is an frugal number, since it uses more digits than its factorization.

478071901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 478071901440 in words is "four hundred seventy-eight billion, seventy-one million, nine hundred one thousand, four hundred forty".