400004206848 has 576 divisors, whose sum is σ = 1299787776000. Its totient is φ = 120854716416.

The previous prime is 400004206837. The next prime is 400004206871. The reversal of 400004206848 is 848602400004.

400004206848 is a `hidden beast` number, since 400 + 0 + 0 + 4 + 206 + 8 + 48 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 483680611 + ... + 483681437.

It is an arithmetic number, because the mean of its divisors is an integer number (2256576000).

Almost surely, 2^400004206848 is an apocalyptic number.

400004206848 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 400004206848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649893888000).

400004206848 is an abundant number, since it is smaller than the sum of its proper divisors (899783569152).

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

400004206848 is a wasteful number, since it uses less digits than its factorization.

400004206848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 400004206848 in words is "four hundred billion, four million, two hundred six thousand, eight hundred forty-eight".