40001148 has 72 divisors (see below), whose sum is σ = 114028880. Its totient is φ = 12117600.

The previous prime is 40001111. The next prime is 40001161. The reversal of 40001148 is 84110004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40001148.

It is a congruent number.

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, 11538 + ... + 14598.

Almost surely, 2^40001148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40001148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57014440).

40001148 is an abundant number, since it is smaller than the sum of its proper divisors (74027732).

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

40001148 is a wasteful number, since it uses less digits than its factorization.

40001148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 40001148 is about 6324.6460770544. The cubic root of 40001148 is about 341.9984610580.

The spelling of 40001148 in words is "forty million, one thousand, one hundred forty-eight".