325013729040 has 1920 divisors, whose sum is σ = 1564288450560. Its totient is φ = 60167577600.

The previous prime is 325013729021. The next prime is 325013729081. The reversal of 325013729040 is 40927310523.

325013729040 is a `hidden beast` number, since 32 + 501 + 37 + 2 + 90 + 4 + 0 = 666.

It is a super-3 number, since 3×325013729040³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 325013728986 and 325013729004.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 871350294 + ... + 871350666.

It is an arithmetic number, because the mean of its divisors is an integer number (814733568).

Almost surely, 2^325013729040 is an apocalyptic number.

325013729040 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 325013729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782144225280).

325013729040 is an abundant number, since it is smaller than the sum of its proper divisors (1239274721520).

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

325013729040 is a wasteful number, since it uses less digits than its factorization.

325013729040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 325013729040 in words is "three hundred twenty-five billion, thirteen million, seven hundred twenty-nine thousand, forty".