32488141271040 has 4160 divisors, whose sum is σ = 154731297853440. Its totient is φ = 6329330565120.

The previous prime is 32488141271023. The next prime is 32488141271129. The reversal of 32488141271040 is 4017214188423.

32488141271040 is a `hidden beast` number, since 3 + 2 + 488 + 1 + 4 + 127 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

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 319 ways as a sum of consecutive naturals, for example, 134805565320 + ... + 134805565560.

Almost surely, 2^{32488141271040} is an apocalyptic number.

32488141271040 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 32488141271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77365648926720).

32488141271040 is an abundant number, since it is smaller than the sum of its proper divisors (122243156582400).

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

32488141271040 is a wasteful number, since it uses less digits than its factorization.

32488141271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 32488141271040 in words is "thirty-two trillion, four hundred eighty-eight billion, one hundred forty-one million, two hundred seventy-one thousand, forty".