4003325532000 has 960 divisors, whose sum is σ = 15488935862400. Its totient is φ = 1011167539200.

The previous prime is 4003325531983. The next prime is 4003325532103. The reversal of 4003325532000 is 2355233004.

4003325532000 is a `hidden beast` number, since 4 + 0 + 0 + 332 + 5 + 5 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 497983981 + ... + 497992019.

It is an arithmetic number, because the mean of its divisors is an integer number (16134308190).

Almost surely, 2^{4003325532000} is an apocalyptic number.

4003325532000 is a gapful number since it is divisible by the number (40) 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 4003325532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744467931200).

4003325532000 is an abundant number, since it is smaller than the sum of its proper divisors (11485610330400).

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

4003325532000 is a wasteful number, since it uses less digits than its factorization.

4003325532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The spelling of 4003325532000 in words is "four trillion, three billion, three hundred twenty-five million, five hundred thirty-two thousand".