40149760 has 72 divisors (see below), whose sum is σ = 109934496. Its totient is φ = 13762560.

The previous prime is 40149757. The next prime is 40149761. The reversal of 40149760 is 6794104.

It is a super-2 number, since 2×40149760² = 3224006456115200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40149761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6720 + ... + 11200.

It is an arithmetic number, because the mean of its divisors is an integer number (1526868).

Almost surely, 2^40149760 is an apocalyptic number.

40149760 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 40149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54967248).

40149760 is an abundant number, since it is smaller than the sum of its proper divisors (69784736).

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

40149760 is an equidigital number, since it uses as much as digits as its factorization.

40149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 40149760 is about 6336.3838267580. The cubic root of 40149760 is about 342.4214677779.

The spelling of 40149760 in words is "forty million, one hundred forty-nine thousand, seven hundred sixty".