32292234240000 has 1120 divisors, whose sum is σ = 123594746520960. Its totient is φ = 7343702016000.

The previous prime is 32292234239987. The next prime is 32292234240043. The reversal of 32292234240000 is 4243229223.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×32292234240000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25052159356 + ... + 25052160644.

Almost surely, 2^{32292234240000} is an apocalyptic number.

32292234240000 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 32292234240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61797373260480).

32292234240000 is an abundant number, since it is smaller than the sum of its proper divisors (91302512280960).

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

32292234240000 is an equidigital number, since it uses as much as digits as its factorization.

32292234240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 32292234240000 its reverse (4243229223), we get a palindrome (32296477469223).

The spelling of 32292234240000 in words is "thirty-two trillion, two hundred ninety-two billion, two hundred thirty-four million, two hundred forty thousand".