40200000 has 168 divisors, whose sum is σ = 134928864. Its totient is φ = 10560000.

The previous prime is 40199983. The next prime is 40200071. The reversal of 40200000 is 204.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599967 + ... + 600033.

It is an arithmetic number, because the mean of its divisors is an integer number (803148).

Almost surely, 2^40200000 is an apocalyptic number.

40200000 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 40200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67464432).

40200000 is an abundant number, since it is smaller than the sum of its proper divisors (94728864).

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

40200000 is an frugal number, since it uses more digits than its factorization.

40200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 40200000 is about 6340.3469936589. The cubic root of 40200000 is about 342.5642339610.

Adding to 40200000 its reverse (204), we get a palindrome (40200204).

It can be divided in two parts, 40 and 200000, that multiplied together give a cube (8000000 = 200³).

The spelling of 40200000 in words is "forty million, two hundred thousand".