400688144280 has 256 divisors, whose sum is σ = 1424376576000. Its totient is φ = 99840743424.

The previous prime is 400688144257. The next prime is 400688144317. The reversal of 400688144280 is 82441886004.

400688144280 is a `hidden beast` number, since 400 + 6 + 88 + 144 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2473537 + ... + 2630543.

It is an arithmetic number, because the mean of its divisors is an integer number (5563971000).

Almost surely, 2^400688144280 is an apocalyptic number.

400688144280 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 400688144280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712188288000).

400688144280 is an abundant number, since it is smaller than the sum of its proper divisors (1023688431720).

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

400688144280 is a wasteful number, since it uses less digits than its factorization.

400688144280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157183 (or 157173 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 400688144280 in words is "four hundred billion, six hundred eighty-eight million, one hundred forty-four thousand, two hundred eighty".