32451215209140 has 192 divisors, whose sum is σ = 111840210155520. Its totient is φ = 6846339801600.

The previous prime is 32451215209139. The next prime is 32451215209181. The reversal of 32451215209140 is 4190251215423.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75455715 + ... + 75884565.

It is an arithmetic number, because the mean of its divisors is an integer number (582501094560).

Almost surely, 2^{32451215209140} is an apocalyptic number.

32451215209140 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 32451215209140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55920105077760).

32451215209140 is an abundant number, since it is smaller than the sum of its proper divisors (79388994946380).

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

32451215209140 is a wasteful number, since it uses less digits than its factorization.

32451215209140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442742 (or 442740 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 32451215209140 in words is "thirty-two trillion, four hundred fifty-one billion, two hundred fifteen million, two hundred nine thousand, one hundred forty".