40007920 has 40 divisors (see below), whose sum is σ = 97917840. Its totient is φ = 15160320.

The previous prime is 40007917. The next prime is 40007963. The reversal of 40007920 is 2970004.

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

40007920 is a modest number, since divided by 7920 gives 4000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 40007891 and 40007900.

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, 11641 + ... + 14680.

It is an arithmetic number, because the mean of its divisors is an integer number (2447946).

Almost surely, 2^40007920 is an apocalyptic number.

40007920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40007920 is an abundant number, since it is smaller than the sum of its proper divisors (57909920).

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

40007920 is a wasteful number, since it uses less digits than its factorization.

40007920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26353 (or 26347 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 40007920 is about 6325.1814203231. The cubic root of 40007920 is about 342.0177595283.

Adding to 40007920 its reverse (2970004), we get a palindrome (42977924).

The spelling of 40007920 in words is "forty million, seven thousand, nine hundred twenty".