32004528642240 has 2240 divisors, whose sum is σ = 133836586426368. Its totient is φ = 6422277120000.

The previous prime is 32004528642217. The next prime is 32004528642241. The reversal of 32004528642240 is 4224682540023.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×32004528642240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 32004528642192 and 32004528642201.

It is not an unprimeable number, because it can be changed into a prime (32004528642241) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 127508082115 + ... + 127508082365.

Almost surely, 2^{32004528642240} is an apocalyptic number.

32004528642240 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 32004528642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66918293213184).

32004528642240 is an abundant number, since it is smaller than the sum of its proper divisors (101832057784128).

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

32004528642240 is a wasteful number, since it uses less digits than its factorization.

32004528642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 32004528642240 in words is "thirty-two trillion, four billion, five hundred twenty-eight million, six hundred forty-two thousand, two hundred forty".