32501142240 has 192 divisors, whose sum is σ = 117151017984. Its totient is φ = 7419506688.

The previous prime is 32501142217. The next prime is 32501142263. The reversal of 32501142240 is 4224110523.

It is an interprime number because it is at equal distance from previous prime (32501142217) and next prime (32501142263).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32501142240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2873877 + ... + 2885163.

It is an arithmetic number, because the mean of its divisors is an integer number (610161552).

Almost surely, 2^32501142240 is an apocalyptic number.

32501142240 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 32501142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58575508992).

32501142240 is an abundant number, since it is smaller than the sum of its proper divisors (84649875744).

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

32501142240 is a wasteful number, since it uses less digits than its factorization.

32501142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12169 (or 12161 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 32501142240 its reverse (4224110523), we get a palindrome (36725252763).

The spelling of 32501142240 in words is "thirty-two billion, five hundred one million, one hundred forty-two thousand, two hundred forty".