40078400 has 84 divisors (see below), whose sum is σ = 101432868. Its totient is φ = 15575040.

The previous prime is 40078369. The next prime is 40078411. The reversal of 40078400 is 487004.

It can be written as a sum of positive squares in 6 ways, for example, as 7268416 + 32809984 = 2696^2 + 5728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58862 + ... + 59538.

Almost surely, 2^40078400 is an apocalyptic number.

40078400 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 40078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50716434).

40078400 is an abundant number, since it is smaller than the sum of its proper divisors (61354468).

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

40078400 is a wasteful number, since it uses less digits than its factorization.

40078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 40078400 is about 6330.7503504719. The cubic root of 40078400 is about 342.2184803724.

It can be divided in two parts, 400 and 78400, that multiplied together give a square (31360000 = 5600²).

The spelling of 40078400 in words is "forty million, seventy-eight thousand, four hundred".