474659173301040 has 960 divisors, whose sum is σ = 2050609808572416. Its totient is φ = 99359256600576.

The previous prime is 474659173301039. The next prime is 474659173301041. The reversal of 474659173301040 is 40103371956474.

474659173301040 is a `hidden beast` number, since 4 + 7 + 4 + 6 + 591 + 7 + 3 + 3 + 0 + 1 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (474659173301039) and next prime (474659173301041).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (474659173301041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223611724 + ... + 225724436.

Almost surely, 2^{474659173301040} is an apocalyptic number.

474659173301040 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 474659173301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025304904286208).

474659173301040 is an abundant number, since it is smaller than the sum of its proper divisors (1575950635271376).

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

474659173301040 is a wasteful number, since it uses less digits than its factorization.

474659173301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112888 (or 2112870 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 474659173301040 in words is "four hundred seventy-four trillion, six hundred fifty-nine billion, one hundred seventy-three million, three hundred one thousand, forty".