32913397440 has 1344 divisors, whose sum is σ = 153373409280. Its totient is φ = 6514421760.

The previous prime is 32913397403. The next prime is 32913397453. The reversal of 32913397440 is 4479331923.

32913397440 is a `hidden beast` number, since 3 + 2 + 91 + 33 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137712841 + ... + 137713079.

It is an arithmetic number, because the mean of its divisors is an integer number (114117120).

Almost surely, 2^32913397440 is an apocalyptic number.

32913397440 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 32913397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76686704640).

32913397440 is an abundant number, since it is smaller than the sum of its proper divisors (120460011840).

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

32913397440 is a wasteful number, since it uses less digits than its factorization.

32913397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 32913397440 in words is "thirty-two billion, nine hundred thirteen million, three hundred ninety-seven thousand, four hundred forty".