400467781728 has 360 divisors, whose sum is σ = 1375119556272. Its totient is φ = 113996284416.

The previous prime is 400467781691. The next prime is 400467781751. The reversal of 400467781728 is 827187764004.

400467781728 is a `hidden beast` number, since 4 + 0 + 0 + 467 + 7 + 8 + 172 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35175525 + ... + 35186907.

Almost surely, 2^400467781728 is an apocalyptic number.

400467781728 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 400467781728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687559778136).

400467781728 is an abundant number, since it is smaller than the sum of its proper divisors (974651774544).

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

400467781728 is a wasteful number, since it uses less digits than its factorization.

400467781728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11696 (or 11672 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 400467781728 in words is "four hundred billion, four hundred sixty-seven million, seven hundred eighty-one thousand, seven hundred twenty-eight".