40251120 has 320 divisors, whose sum is σ = 163322880. Its totient is φ = 7962624.

The previous prime is 40251103. The next prime is 40251131. The reversal of 40251120 is 2115204.

40251120 = 1106² + 1107² + ... + 1137².

40251120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40251120² = 3240305322508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40251120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414912 + ... + 415008.

It is an arithmetic number, because the mean of its divisors is an integer number (510384).

Almost surely, 2^40251120 is an apocalyptic number.

40251120 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 40251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81661440).

40251120 is an abundant number, since it is smaller than the sum of its proper divisors (123071760).

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

40251120 is a wasteful number, since it uses less digits than its factorization.

40251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 40251120 is about 6344.3770379762. The cubic root of 40251120 is about 342.7093787863.

Adding to 40251120 its reverse (2115204), we get a palindrome (42366324).

The spelling of 40251120 in words is "forty million, two hundred fifty-one thousand, one hundred twenty".