400181886720 has 2592 divisors, whose sum is σ = 1899919257600. Its totient is φ = 80472268800.

The previous prime is 400181886683. The next prime is 400181886749. The reversal of 400181886720 is 27688181004.

400181886720 is a `hidden beast` number, since 400 + 1 + 8 + 188 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 287 ways as a sum of consecutive naturals, for example, 12909093105 + ... + 12909093135.

Almost surely, 2^400181886720 is an apocalyptic number.

400181886720 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 400181886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949959628800).

400181886720 is an abundant number, since it is smaller than the sum of its proper divisors (1499737370880).

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

400181886720 is an equidigital number, since it uses as much as digits as its factorization.

400181886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 400181886720 in words is "four hundred billion, one hundred eighty-one million, eight hundred eighty-six thousand, seven hundred twenty".