40014000 has 400 divisors, whose sum is σ = 163843680. Its totient is φ = 9331200.

The previous prime is 40013999. The next prime is 40014059. The reversal of 40014000 is 41004.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×40014000² = 3202240392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2105991 + ... + 2106009.

Almost surely, 2^40014000 is an apocalyptic number.

40014000 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 40014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81921840).

40014000 is an abundant number, since it is smaller than the sum of its proper divisors (123829680).

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

40014000 is a wasteful number, since it uses less digits than its factorization.

40014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 40014000 is about 6325.6620206900. The cubic root of 40014000 is about 342.0350841201.

Adding to 40014000 its reverse (41004), we get a palindrome (40055004).

It can be divided in two parts, 4001 and 4000, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 40014000 in words is "forty million, fourteen thousand".