32000100440 has 384 divisors, whose sum is σ = 93823349760. Its totient is φ = 9609600000.

The previous prime is 32000100437. The next prime is 32000100443. The reversal of 32000100440 is 4400100023.

It is an interprime number because it is at equal distance from previous prime (32000100437) and next prime (32000100443).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32000100443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127490315 + ... + 127490565.

It is an arithmetic number, because the mean of its divisors is an integer number (244331640).

Almost surely, 2^32000100440 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 32000100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46911674880).

32000100440 is an abundant number, since it is smaller than the sum of its proper divisors (61823249320).

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

32000100440 is a wasteful number, since it uses less digits than its factorization.

32000100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 32000100440 its reverse (4400100023), we get a palindrome (36400200463).

The spelling of 32000100440 in words is "thirty-two billion, one hundred thousand, four hundred forty".