400763106100 has 108 divisors (see below), whose sum is σ = 1038982690956. Its totient is φ = 133690798080.

The previous prime is 400763106089. The next prime is 400763106113. The reversal of 400763106100 is 1601367004.

It can be written as a sum of positive squares in 6 ways, for example, as 42711662224 + 358051443876 = 206668^2 + 598374^2 .

It is a super-2 number, since 2×400763106100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 923949 + ... + 1286548.

Almost surely, 2^400763106100 is an apocalyptic number.

It is an amenable number.

400763106100 is an abundant number, since it is smaller than the sum of its proper divisors (638219584856).

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

400763106100 is a wasteful number, since it uses less digits than its factorization.

400763106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210562 (or 2210548 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 400763106100 in words is "four hundred billion, seven hundred sixty-three million, one hundred six thousand, one hundred".