40148064 has 288 divisors, whose sum is σ = 141523200. Its totient is φ = 10644480.

The previous prime is 40148063. The next prime is 40148099. The reversal of 40148064 is 46084104.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40148064² = 3223734085896192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40148063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384402 + ... + 1384430.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^40148064 is an apocalyptic number.

40148064 is a gapful number since it is divisible by the number (44) 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 40148064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

40148064 is an abundant number, since it is smaller than the sum of its proper divisors (101375136).

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

40148064 is a wasteful number, since it uses less digits than its factorization.

40148064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40148064 is about 6336.2499950681. The cubic root of 40148064 is about 342.4166462050.

The spelling of 40148064 in words is "forty million, one hundred forty-eight thousand, sixty-four".