140032134033000 has 1024 divisors, whose sum is σ = 496848328704000. Its totient is φ = 32525337600000.

The previous prime is 140032134032939. The next prime is 140032134033047. The reversal of 140032134033000 is 330431230041.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 87030536196 + ... + 87030537804.

It is an arithmetic number, because the mean of its divisors is an integer number (485203446000).

Almost surely, 2^{140032134033000} is an apocalyptic number.

140032134033000 is a gapful number since it is divisible by the number (10) 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 140032134033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248424164352000).

140032134033000 is an abundant number, since it is smaller than the sum of its proper divisors (356816194671000).

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

140032134033000 is a wasteful number, since it uses less digits than its factorization.

140032134033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 140032134033000 its reverse (330431230041), we get a palindrome (140362565263041).

The spelling of 140032134033000 in words is "one hundred forty trillion, thirty-two billion, one hundred thirty-four million, thirty-three thousand".