400181385600 has 768 divisors, whose sum is σ = 1511256398400. Its totient is φ = 103351910400.

The previous prime is 400181385589. The next prime is 400181385601. The reversal of 400181385600 is 6583181004.

400181385600 is a `hidden beast` number, since 4 + 0 + 0 + 18 + 1 + 38 + 5 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400181385601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 612834874 + ... + 612835526.

Almost surely, 2^400181385600 is an apocalyptic number.

400181385600 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 400181385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755628199200).

400181385600 is an abundant number, since it is smaller than the sum of its proper divisors (1111075012800).

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

400181385600 is a wasteful number, since it uses less digits than its factorization.

400181385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 400181385600 in words is "four hundred billion, one hundred eighty-one million, three hundred eighty-five thousand, six hundred".