32142341484000 has 1536 divisors, whose sum is σ = 136787494072320. Its totient is φ = 7251628032000.

The previous prime is 32142341483933. The next prime is 32142341484017. The reversal of 32142341484000 is 48414324123.

32142341484000 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 234 + 14 + 8 + 400 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 1010972104 + ... + 1011003896.

It is an arithmetic number, because the mean of its divisors is an integer number (89054358120).

Almost surely, 2^{32142341484000} is an apocalyptic number.

32142341484000 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 32142341484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68393747036160).

32142341484000 is an abundant number, since it is smaller than the sum of its proper divisors (104645152588320).

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

32142341484000 is a wasteful number, since it uses less digits than its factorization.

32142341484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31898 (or 31874 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 32142341484000 in words is "thirty-two trillion, one hundred forty-two billion, three hundred forty-one million, four hundred eighty-four thousand".