32043625416400 has 240 divisors, whose sum is σ = 83986722005760. Its totient is φ = 11677476096000.

The previous prime is 32043625416349. The next prime is 32043625416409. The reversal of 32043625416400 is 461452634023.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32043625416409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1266483750 + ... + 1266509050.

It is an arithmetic number, because the mean of its divisors is an integer number (349944675024).

Almost surely, 2^{32043625416400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32043625416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41993361002880).

32043625416400 is an abundant number, since it is smaller than the sum of its proper divisors (51943096589360).

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

32043625416400 is a wasteful number, since it uses less digits than its factorization.

32043625416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28494 (or 28483 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 32043625416400 in words is "thirty-two trillion, forty-three billion, six hundred twenty-five million, four hundred sixteen thousand, four hundred".