476365464287440 has 320 divisors, whose sum is σ = 1408760465559552. Its totient is φ = 145727432294400.

The previous prime is 476365464287431. The next prime is 476365464287441. The reversal of 476365464287440 is 44782464563674.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 476365464287440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476365464287441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191267760 + ... + 193742320.

Almost surely, 2^{476365464287440} is an apocalyptic number.

476365464287440 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 476365464287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704380232779776).

476365464287440 is an abundant number, since it is smaller than the sum of its proper divisors (932395001272112).

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

476365464287440 is a wasteful number, since it uses less digits than its factorization.

476365464287440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475478 (or 2475472 counting only the distinct ones).

The product of its (nonzero) digits is 2601123840, while the sum is 70.

The spelling of 476365464287440 in words is "four hundred seventy-six trillion, three hundred sixty-five billion, four hundred sixty-four million, two hundred eighty-seven thousand, four hundred forty".