400632246640350 has 384 divisors, whose sum is σ = 1194771629721600. Its totient is φ = 98329199616000.

The previous prime is 400632246640343. The next prime is 400632246640363. The reversal of 400632246640350 is 53046642236004.

400632246640350 is a `hidden beast` number, since 4 + 0 + 0 + 632 + 2 + 4 + 6 + 6 + 4 + 0 + 3 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 400632246640296 and 400632246640305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1295304021 + ... + 1295613279.

It is an arithmetic number, because the mean of its divisors is an integer number (3111384452400).

Almost surely, 2^{400632246640350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400632246640350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597385814860800).

400632246640350 is an abundant number, since it is smaller than the sum of its proper divisors (794139383081250).

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

400632246640350 is a wasteful number, since it uses less digits than its factorization.

400632246640350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310545 (or 310534 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

Adding to 400632246640350 its reverse (53046642236004), we get a palindrome (453678888876354).

The spelling of 400632246640350 in words is "four hundred trillion, six hundred thirty-two billion, two hundred forty-six million, six hundred forty thousand, three hundred fifty".