471030387098400 has 864 divisors, whose sum is σ = 1723215686512320. Its totient is φ = 120987541463040.

The previous prime is 471030387098371. The next prime is 471030387098429. The reversal of 471030387098400 is 4890783030174.

471030387098400 is a `hidden beast` number, since 4 + 71 + 0 + 3 + 0 + 3 + 87 + 0 + 98 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (471030387098371) and next prime (471030387098429).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14313101146 + ... + 14313134054.

It is an arithmetic number, because the mean of its divisors is an integer number (1994462600130).

Almost surely, 2^{471030387098400} is an apocalyptic number.

471030387098400 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 471030387098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861607843256160).

471030387098400 is an abundant number, since it is smaller than the sum of its proper divisors (1252185299413920).

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

471030387098400 is a wasteful number, since it uses less digits than its factorization.

471030387098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33618 (or 33602 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 471030387098400 in words is "four hundred seventy-one trillion, thirty billion, three hundred eighty-seven million, ninety-eight thousand, four hundred".