400278412800 has 900 divisors, whose sum is σ = 1723549540680. Its totient is φ = 91480596480.

The previous prime is 400278412789. The next prime is 400278412837. The reversal of 400278412800 is 8214872004.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 50799261 + ... + 50807139.

Almost surely, 2^400278412800 is an apocalyptic number.

400278412800 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 400278412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861774770340).

400278412800 is an abundant number, since it is smaller than the sum of its proper divisors (1323271127880).

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

400278412800 is an equidigital number, since it uses as much as digits as its factorization.

400278412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7933 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 400278412800 in words is "four hundred billion, two hundred seventy-eight million, four hundred twelve thousand, eight hundred".