4073982000 has 320 divisors, whose sum is σ = 15175600128. Its totient is φ = 929280000.

The previous prime is 4073981987. The next prime is 4073982013. The reversal of 4073982000 is 2893704.

It is an interprime number because it is at equal distance from previous prime (4073981987) and next prime (4073982013).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1120185 + ... + 1123815.

Almost surely, 2^4073982000 is an apocalyptic number.

4073982000 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 4073982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587800064).

4073982000 is an abundant number, since it is smaller than the sum of its proper divisors (11101618128).

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

4073982000 is a wasteful number, since it uses less digits than its factorization.

4073982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 4073982000 is about 63827.7525845929. The cubic root of 4073982000 is about 1597.1279204760.

The spelling of 4073982000 in words is "four billion, seventy-three million, nine hundred eighty-two thousand".