400841136000 has 768 divisors, whose sum is σ = 1506143358720. Its totient is φ = 105940224000.

The previous prime is 400841135963. The next prime is 400841136011. The reversal of 400841136000 is 631148004.

400841136000 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 41 + 13 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 509327607 + ... + 509328393.

It is an arithmetic number, because the mean of its divisors is an integer number (1961124165).

Almost surely, 2^400841136000 is an apocalyptic number.

400841136000 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 400841136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753071679360).

400841136000 is an abundant number, since it is smaller than the sum of its proper divisors (1105302222720).

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

400841136000 is an equidigital number, since it uses as much as digits as its factorization.

400841136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 400841136000 in words is "four hundred billion, eight hundred forty-one million, one hundred thirty-six thousand".