40300032400 has 30 divisors (see below), whose sum is σ = 96820828802. Its totient is φ = 16120012800.

The previous prime is 40300032391. The next prime is 40300032401. The reversal of 40300032400 is 423000304.

It can be written as a sum of positive squares in 3 ways, for example, as 384787456 + 39915244944 = 19616^2 + 199788^2 .

It is a super-2 number, since 2×40300032400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40300032401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50374641 + ... + 50375440.

Almost surely, 2^40300032400 is an apocalyptic number.

40300032400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40300032400 is an abundant number, since it is smaller than the sum of its proper divisors (56520796402).

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

40300032400 is a wasteful number, since it uses less digits than its factorization.

40300032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100750099 (or 100750088 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 40300032400 its reverse (423000304), we get a palindrome (40723032704).

The spelling of 40300032400 in words is "forty billion, three hundred million, thirty-two thousand, four hundred".