478142021952 has 896 divisors, whose sum is σ = 1727557632000. Its totient is φ = 129446553600.

The previous prime is 478142021933. The next prime is 478142021993. The reversal of 478142021952 is 259120241874.

478142021952 is a `hidden beast` number, since 4 + 7 + 8 + 1 + 420 + 219 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 478142021898 and 478142021907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 973812427 + ... + 973812917.

Almost surely, 2^478142021952 is an apocalyptic number.

478142021952 is a gapful number since it is divisible by the number (42) 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 478142021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863778816000).

478142021952 is an abundant number, since it is smaller than the sum of its proper divisors (1249415610048).

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

478142021952 is a wasteful number, since it uses less digits than its factorization.

478142021952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 478142021952 in words is "four hundred seventy-eight billion, one hundred forty-two million, twenty-one thousand, nine hundred fifty-two".