40138000 has 160 divisors (see below), whose sum is σ = 115135488. Its totient is φ = 13248000.

The previous prime is 40137997. The next prime is 40138019. The reversal of 40138000 is 83104.

It is a super-2 number, since 2×40138000² = 3222118088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657970 + ... + 658030.

Almost surely, 2^40138000 is an apocalyptic number.

40138000 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 40138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57567744).

40138000 is an abundant number, since it is smaller than the sum of its proper divisors (74997488).

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

40138000 is a wasteful number, since it uses less digits than its factorization.

40138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 40138000 is about 6335.4557847088. The cubic root of 40138000 is about 342.3880323793.

The spelling of 40138000 in words is "forty million, one hundred thirty-eight thousand".