477026807040 has 756 divisors, whose sum is σ = 1993049111844. Its totient is φ = 109024247808.

The previous prime is 477026807009. The next prime is 477026807063. The reversal of 477026807040 is 40708620774.

It can be written as a sum of positive squares in 2 ways, for example, as 239990252544 + 237036554496 = 489888^2 + 486864^2 .

It is a tau number, because it is divible by the number of its divisors (756).

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 45717664 + ... + 45728096.

It is an arithmetic number, because the mean of its divisors is an integer number (2636308349).

Almost surely, 2^477026807040 is an apocalyptic number.

477026807040 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 477026807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996524555922).

477026807040 is an abundant number, since it is smaller than the sum of its proper divisors (1516022304804).

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

477026807040 is an equidigital number, since it uses as much as digits as its factorization.

477026807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 477026807040 in words is "four hundred seventy-seven billion, twenty-six million, eight hundred seven thousand, forty".