32439942512640 has 1380 divisors, whose sum is σ = 127052264563884. Its totient is φ = 7914550984704.

The previous prime is 32439942512623. The next prime is 32439942512683. The reversal of 32439942512640 is 4621524993423.

It is a happy number.

32439942512640 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 99 + 425 + 126 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16294204145664 + 16145738366976 = 4036608^2 + 4018176^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 287079137224 + ... + 287079137336.

Almost surely, 2^{32439942512640} is an apocalyptic number.

32439942512640 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 32439942512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63526132281942).

32439942512640 is an abundant number, since it is smaller than the sum of its proper divisors (94612322051244).

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

32439942512640 is an frugal number, since it uses more digits than its factorization.

32439942512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 32439942512640 in words is "thirty-two trillion, four hundred thirty-nine billion, nine hundred forty-two million, five hundred twelve thousand, six hundred forty".