40149648 has 320 divisors, whose sum is σ = 154275840. Its totient is φ = 9676800.

The previous prime is 40149607. The next prime is 40149649. The reversal of 40149648 is 84694104.

It is a happy number.

40149648 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 9 + 648 = 666.

It is a super-2 number, since 2×40149648² = 3223988469047808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40149649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565453 + ... + 565523.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 2^40149648 is an apocalyptic number.

40149648 is a gapful number since it is divisible by the number (48) 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 40149648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77137920).

40149648 is an abundant number, since it is smaller than the sum of its proper divisors (114126192).

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

40149648 is a wasteful number, since it uses less digits than its factorization.

40149648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40149648 is about 6336.3749889034. The cubic root of 40149648 is about 342.4211493764.

The spelling of 40149648 in words is "forty million, one hundred forty-nine thousand, six hundred forty-eight".