32291412480 has 320 divisors, whose sum is σ = 115561353600. Its totient is φ = 8546549760.

The previous prime is 32291412469. The next prime is 32291412481. The reversal of 32291412480 is 8421419223.

32291412480 is a `hidden beast` number, since 32 + 2 + 9 + 141 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32291412481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9606000 + ... + 9609360.

It is an arithmetic number, because the mean of its divisors is an integer number (361129230).

Almost surely, 2^32291412480 is an apocalyptic number.

32291412480 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 32291412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57780676800).

32291412480 is an abundant number, since it is smaller than the sum of its proper divisors (83269941120).

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

32291412480 is a wasteful number, since it uses less digits than its factorization.

32291412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 32291412480 in words is "thirty-two billion, two hundred ninety-one million, four hundred twelve thousand, four hundred eighty".