4005372000 has 384 divisors, whose sum is σ = 15375080448. Its totient is φ = 892416000.

The previous prime is 4005371977. The next prime is 4005372011. The reversal of 4005372000 is 2735004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3443419 + ... + 3444581.

It is an arithmetic number, because the mean of its divisors is an integer number (40039272).

Almost surely, 2^4005372000 is an apocalyptic number.

4005372000 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 4005372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687540224).

4005372000 is an abundant number, since it is smaller than the sum of its proper divisors (11369708448).

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

4005372000 is a wasteful number, since it uses less digits than its factorization.

4005372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 4005372000 is about 63288.0083428133. The cubic root of 4005372000 is about 1588.1113606191. Note that the first 3 decimals are identical.

The spelling of 4005372000 in words is "four billion, five million, three hundred seventy-two thousand".