400631262240 has 192 divisors, whose sum is σ = 1377597497472. Its totient is φ = 97060454400.

The previous prime is 400631262221. The next prime is 400631262253. The reversal of 400631262240 is 42262136004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 400631262198 and 400631262207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8493120 + ... + 8540160.

It is an arithmetic number, because the mean of its divisors is an integer number (7174986966).

Almost surely, 2^400631262240 is an apocalyptic number.

400631262240 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 400631262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688798748736).

400631262240 is an abundant number, since it is smaller than the sum of its proper divisors (976966235232).

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

400631262240 is a wasteful number, since it uses less digits than its factorization.

400631262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48683 (or 48675 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 400631262240 its reverse (42262136004), we get a palindrome (442893398244).

The spelling of 400631262240 in words is "four hundred billion, six hundred thirty-one million, two hundred sixty-two thousand, two hundred forty".