477225250007040 has 768 divisors, whose sum is σ = 1742761689177600. Its totient is φ = 123783173111808.

The previous prime is 477225250006997. The next prime is 477225250007063. The reversal of 477225250007040 is 40700052522774.

477225250007040 is a `hidden beast` number, since 4 + 7 + 7 + 22 + 52 + 500 + 0 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54187034317 + ... + 54187043123.

It is an arithmetic number, because the mean of its divisors is an integer number (2269220949450).

Almost surely, 2^{477225250007040} is an apocalyptic number.

477225250007040 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 477225250007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871380844588800).

477225250007040 is an abundant number, since it is smaller than the sum of its proper divisors (1265536439170560).

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

477225250007040 is a wasteful number, since it uses less digits than its factorization.

477225250007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14177 (or 14151 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 477225250007040 in words is "four hundred seventy-seven trillion, two hundred twenty-five billion, two hundred fifty million, seven thousand, forty".