32071041396900 has 405 divisors, whose sum is σ = 111344265078865. Its totient is φ = 7715448312000.

The previous prime is 32071041396881. The next prime is 32071041396917. The reversal of 32071041396900 is 969314017023.

The square root of 32071041396900 is 5663130.

It is a perfect power (a square), and thus also a powerful number.

32071041396900 is a `hidden beast` number, since 3 + 207 + 10 + 41 + 396 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11545574902884 + 20525466494016 = 3397878^2 + 4530504^2 .

It is a super-2 number, since 2×32071041396900² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 244817109835 + ... + 244817109965.

Almost surely, 2^{32071041396900} is an apocalyptic number.

32071041396900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32071041396900 is the 5663130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32071041396900

32071041396900 is an abundant number, since it is smaller than the sum of its proper divisors (79273223681965).

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

32071041396900 is an frugal number, since it uses more digits than its factorization.

32071041396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 32071041396900 in words is "thirty-two trillion, seventy-one billion, forty-one million, three hundred ninety-six thousand, nine hundred".