476761451040 has 768 divisors, whose sum is σ = 1963906560000. Its totient is φ = 107094555648.

The previous prime is 476761451011. The next prime is 476761451059. The reversal of 476761451040 is 40154167674.

476761451040 is a `hidden beast` number, since 4 + 76 + 7 + 61 + 4 + 510 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 144515311 + ... + 144518609.

It is an arithmetic number, because the mean of its divisors is an integer number (2557170000).

Almost surely, 2^476761451040 is an apocalyptic number.

476761451040 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 476761451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981953280000).

476761451040 is an abundant number, since it is smaller than the sum of its proper divisors (1487145108960).

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

476761451040 is an equidigital number, since it uses as much as digits as its factorization.

476761451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 476761451040 in words is "four hundred seventy-six billion, seven hundred sixty-one million, four hundred fifty-one thousand, forty".