32204235014040 has 128 divisors (see below), whose sum is σ = 97276953369600. Its totient is φ = 8528859809280.

The previous prime is 32204235013991. The next prime is 32204235014101. The reversal of 32204235014040 is 4041053240223.

It is a super-2 number, since 2×32204235014040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32204235013989 and 32204235014007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18234445 + ... + 19922435.

It is an arithmetic number, because the mean of its divisors is an integer number (759976198200).

Almost surely, 2^{32204235014040} is an apocalyptic number.

32204235014040 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 32204235014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48638476684800).

32204235014040 is an abundant number, since it is smaller than the sum of its proper divisors (65072718355560).

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

32204235014040 is a wasteful number, since it uses less digits than its factorization.

32204235014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689097 (or 1689093 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 32204235014040 its reverse (4041053240223), we get a palindrome (36245288254263).

The spelling of 32204235014040 in words is "thirty-two trillion, two hundred four billion, two hundred thirty-five million, fourteen thousand, forty".