40401120 has 96 divisors (see below), whose sum is σ = 129118752. Its totient is φ = 10616832.

The previous prime is 40401103. The next prime is 40401131. The reversal of 40401120 is 2110404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 40401096 and 40401105.

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 15 ways as a sum of consecutive naturals, for example, 34464 + ... + 35616.

It is an arithmetic number, because the mean of its divisors is an integer number (1344987).

Almost surely, 2^40401120 is an apocalyptic number.

40401120 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 40401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64559376).

40401120 is an abundant number, since it is smaller than the sum of its proper divisors (88717632).

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

40401120 is a wasteful number, since it uses less digits than its factorization.

40401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 40401120 is about 6356.1875365662. The cubic root of 40401120 is about 343.1345651462.

Adding to 40401120 its reverse (2110404), we get a palindrome (42511524).

The spelling of 40401120 in words is "forty million, four hundred one thousand, one hundred twenty".