32061031475400 has 480 divisors, whose sum is σ = 114550119204840. Its totient is φ = 8304872509440.

The previous prime is 32061031475383. The next prime is 32061031475401. The reversal of 32061031475400 is 457413016023.

32061031475400 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 103 + 1 + 4 + 7 + 540 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1507841555364 + 30553189920036 = 1227942^2 + 5527494^2 .

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 (32061031475401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 367388572 + ... + 367475828.

Almost surely, 2^{32061031475400} is an apocalyptic number.

32061031475400 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 32061031475400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57275059602420).

32061031475400 is an abundant number, since it is smaller than the sum of its proper divisors (82489087729440).

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

32061031475400 is a wasteful number, since it uses less digits than its factorization.

32061031475400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87935 (or 87917 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 32061031475400 in words is "thirty-two trillion, sixty-one billion, thirty-one million, four hundred seventy-five thousand, four hundred".