474233116694400 has 768 divisors, whose sum is σ = 1984022064460800. Its totient is φ = 108367546982400.

The previous prime is 474233116694377. The next prime is 474233116694401. The reversal of 474233116694400 is 4496611332474.

474233116694400 is a `hidden beast` number, since 4 + 7 + 4 + 2 + 3 + 31 + 166 + 9 + 440 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474233116694401) 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 95 ways as a sum of consecutive naturals, for example, 2336240910 + ... + 2336443890.

It is an arithmetic number, because the mean of its divisors is an integer number (2583362063100).

Almost surely, 2^{474233116694400} is an apocalyptic number.

474233116694400 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 474233116694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992011032230400).

474233116694400 is an abundant number, since it is smaller than the sum of its proper divisors (1509788947766400).

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

474233116694400 is a wasteful number, since it uses less digits than its factorization.

474233116694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206884 (or 206861 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 474233116694400 in words is "four hundred seventy-four trillion, two hundred thirty-three billion, one hundred sixteen million, six hundred ninety-four thousand, four hundred".