32081459400000 has 420 divisors, whose sum is σ = 118866821903676. Its totient is φ = 8555051520000.

The previous prime is 32081459399999. The next prime is 32081459400017. The reversal of 32081459400000 is 495418023.

32081459400000 is a `hidden beast` number, since 3 + 208 + 1 + 45 + 9 + 400 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 31695728970816 + 385730429184 = 5629896^2 + 621072^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15209832 + ... + 17190168.

Almost surely, 2^{32081459400000} is an apocalyptic number.

32081459400000 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 32081459400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59433410951838).

32081459400000 is an abundant number, since it is smaller than the sum of its proper divisors (86785362503676).

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

32081459400000 is an frugal number, since it uses more digits than its factorization.

32081459400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980386 (or 1980347 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 32081459400000 in words is "thirty-two trillion, eighty-one billion, four hundred fifty-nine million, four hundred thousand".