477391123440 has 640 divisors, whose sum is σ = 2079021219840. Its totient is φ = 97798579200.

The previous prime is 477391123399. The next prime is 477391123453. The reversal of 477391123440 is 44321193774.

477391123440 is a `hidden beast` number, since 47 + 73 + 91 + 12 + 3 + 440 = 666.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11788507 + ... + 11828933.

It is an arithmetic number, because the mean of its divisors is an integer number (3248470656).

Almost surely, 2^477391123440 is an apocalyptic number.

477391123440 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 477391123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039510609920).

477391123440 is an abundant number, since it is smaller than the sum of its proper divisors (1601630096400).

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

477391123440 is a wasteful number, since it uses less digits than its factorization.

477391123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40538 (or 40526 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 477391123440 in words is "four hundred seventy-seven billion, three hundred ninety-one million, one hundred twenty-three thousand, four hundred forty".