400105251000 has 2560 divisors, whose sum is σ = 1899656478720. Its totient is φ = 76142592000.

The previous prime is 400105250989. The next prime is 400105251011. The reversal of 400105251000 is 152501004.

400105251000 is a `hidden beast` number, since 40 + 0 + 1 + 0 + 525 + 100 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (400105250989) and next prime (400105251011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3884516949 + ... + 3884517051.

It is an arithmetic number, because the mean of its divisors is an integer number (742053312).

Almost surely, 2^400105251000 is an apocalyptic number.

400105251000 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 400105251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949828239360).

400105251000 is an abundant number, since it is smaller than the sum of its proper divisors (1499551227720).

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

400105251000 is a wasteful number, since it uses less digits than its factorization.

400105251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 400105251000 its reverse (152501004), we get a palindrome (400257752004).

The spelling of 400105251000 in words is "four hundred billion, one hundred five million, two hundred fifty-one thousand".