32401011300 has 144 divisors (see below), whose sum is σ = 107275550592. Its totient is φ = 7396531200.

The previous prime is 32401011299. The next prime is 32401011301. The reversal of 32401011300 is 311010423.

It is an interprime number because it is at equal distance from previous prime (32401011299) and next prime (32401011301).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32401011300.

It is not an unprimeable number, because it can be changed into a prime (32401011301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714704 + ... + 1733496.

Almost surely, 2^32401011300 is an apocalyptic number.

32401011300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32401011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53637775296).

32401011300 is an abundant number, since it is smaller than the sum of its proper divisors (74874539292).

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

32401011300 is a wasteful number, since it uses less digits than its factorization.

32401011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19638 (or 19631 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 32401011300 its reverse (311010423), we get a palindrome (32712021723).

The spelling of 32401011300 in words is "thirty-two billion, four hundred one million, eleven thousand, three hundred".