400283208787968 has 240 divisors, whose sum is σ = 1304308248122880. Its totient is φ = 121297941504000.

The previous prime is 400283208787937. The next prime is 400283208787999. The reversal of 400283208787968 is 869787802382004.

400283208787968 is a `hidden beast` number, since 4 + 0 + 0 + 283 + 208 + 7 + 87 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (400283208787937) and next prime (400283208787999).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 400283208787896 and 400283208787905.

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 19 ways as a sum of consecutive naturals, for example, 107855808 + ... + 111505343.

It is an arithmetic number, because the mean of its divisors is an integer number (5434617700512).

Almost surely, 2^{400283208787968} is an apocalyptic number.

400283208787968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

400283208787968 is an abundant number, since it is smaller than the sum of its proper divisors (904025039334912).

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

400283208787968 is a wasteful number, since it uses less digits than its factorization.

400283208787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219361196 (or 219361167 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 400283208787968 in words is "four hundred trillion, two hundred eighty-three billion, two hundred eight million, seven hundred eighty-seven thousand, nine hundred sixty-eight".