40199120 has 40 divisors (see below), whose sum is σ = 100655016. Its totient is φ = 14842368.

The previous prime is 40199113. The next prime is 40199153. The reversal of 40199120 is 2199104.

It can be written as a sum of positive squares in 4 ways, for example, as 559504 + 39639616 = 748^2 + 6296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 40199120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18287 + ... + 20366.

Almost surely, 2^40199120 is an apocalyptic number.

40199120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40199120 is an abundant number, since it is smaller than the sum of its proper divisors (60455896).

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

40199120 is a wasteful number, since it uses less digits than its factorization.

40199120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38679 (or 38673 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 40199120 is about 6340.2775964464. The cubic root of 40199120 is about 342.5617343033.

The spelling of 40199120 in words is "forty million, one hundred ninety-nine thousand, one hundred twenty".