40071000 has 192 divisors, whose sum is σ = 135514080. Its totient is φ = 9849600.

The previous prime is 40070999. The next prime is 40071013. The reversal of 40071000 is 17004.

40071000 = T₂₇₉ + T₂₈₀ + ... + T₆₃₉.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082982 + ... + 1083018.

Almost surely, 2^40071000 is an apocalyptic number.

40071000 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 40071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67757040).

40071000 is an abundant number, since it is smaller than the sum of its proper divisors (95443080).

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

40071000 is a wasteful number, since it uses less digits than its factorization.

40071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 40071000 is about 6330.1658746039. The cubic root of 40071000 is about 342.1974168849.

Adding to 40071000 its reverse (17004), we get a palindrome (40088004).

The spelling of 40071000 in words is "forty million, seventy-one thousand".