400096605143808 has 576 divisors, whose sum is σ = 1284902945464320. Its totient is φ = 122322208555008.

The previous prime is 400096605143597. The next prime is 400096605143813. The reversal of 400096605143808 is 808341506690004.

400096605143808 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 96 + 6 + 0 + 514 + 38 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1286630841 + ... + 1286941767.

It is an arithmetic number, because the mean of its divisors is an integer number (2230734280320).

Almost surely, 2^{400096605143808} is an apocalyptic number.

400096605143808 is a gapful number since it is divisible by the number (48) 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 400096605143808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642451472732160).

400096605143808 is an abundant number, since it is smaller than the sum of its proper divisors (884806340320512).

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

400096605143808 is a wasteful number, since it uses less digits than its factorization.

400096605143808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311249 (or 311229 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 400096605143808 in words is "four hundred trillion, ninety-six billion, six hundred five million, one hundred forty-three thousand, eight hundred eight".