471055678295040 has 1408 divisors, whose sum is σ = 1737301657559040. Its totient is φ = 120962167603200.

The previous prime is 471055678294987. The next prime is 471055678295053. The reversal of 471055678295040 is 40592876550174.

It is a happy number.

471055678295040 is a `hidden beast` number, since 4 + 7 + 1 + 0 + 5 + 56 + 78 + 2 + 9 + 504 + 0 = 666.

It is a super-2 number, since 2×471055678295040² (a number of 30 digits) contains 22 as substring.

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, 356590217580 + ... + 356590218900.

Almost surely, 2^{471055678295040} is an apocalyptic number.

471055678295040 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 471055678295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868650828779520).

471055678295040 is an abundant number, since it is smaller than the sum of its proper divisors (1266245979264000).

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

471055678295040 is a wasteful number, since it uses less digits than its factorization.

471055678295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 471055678295040 in words is "four hundred seventy-one trillion, fifty-five billion, six hundred seventy-eight million, two hundred ninety-five thousand, forty".