40133520 has 120 divisors (see below), whose sum is σ = 154055616. Its totient is φ = 9172224.

The previous prime is 40133507. The next prime is 40133539. The reversal of 40133520 is 2533104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40133520² = 3221398855180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40133493 and 40133502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059 + ... + 9021.

Almost surely, 2^40133520 is an apocalyptic number.

40133520 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 40133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77027808).

40133520 is an abundant number, since it is smaller than the sum of its proper divisors (113922096).

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

40133520 is a wasteful number, since it uses less digits than its factorization.

40133520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7989 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 40133520 is about 6335.1022091202. The cubic root of 40133520 is about 342.3752933668.

Adding to 40133520 its reverse (2533104), we get a palindrome (42666624).

The spelling of 40133520 in words is "forty million, one hundred thirty-three thousand, five hundred twenty".