400701480192 has 216 divisors, whose sum is σ = 1246012895400. Its totient is φ = 123112341504.

The previous prime is 400701480133. The next prime is 400701480227. The reversal of 400701480192 is 291084107004.

It can be written as a sum of positive squares in 4 ways, for example, as 37642208256 + 363059271936 = 194016^2 + 602544^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21226534 + ... + 21245402.

Almost surely, 2^400701480192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400701480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623006447700).

400701480192 is an abundant number, since it is smaller than the sum of its proper divisors (845311415208).

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

400701480192 is a wasteful number, since it uses less digits than its factorization.

400701480192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19613 (or 19596 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 400701480192 its reverse (291084107004), we get a palindrome (691785587196).

The spelling of 400701480192 in words is "four hundred billion, seven hundred one million, four hundred eighty thousand, one hundred ninety-two".