40950144 has 192 divisors, whose sum is σ = 131518800. Its totient is φ = 12533760.

The previous prime is 40950137. The next prime is 40950167. The reversal of 40950144 is 44105904.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 998764 + ... + 998804.

Almost surely, 2^40950144 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 40950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65759400).

40950144 is an abundant number, since it is smaller than the sum of its proper divisors (90568656).

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

40950144 is a wasteful number, since it uses less digits than its factorization.

40950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40950144 is about 6399.2299536741. The cubic root of 40950144 is about 344.6818996086.

The spelling of 40950144 in words is "forty million, nine hundred fifty thousand, one hundred forty-four".