40961430 has 64 divisors (see below), whose sum is σ = 109900800. Its totient is φ = 10856160.

The previous prime is 40961429. The next prime is 40961477. The reversal of 40961430 is 3416904.

40961430 is a `hidden beast` number, since 40 + 9 + 614 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40961394 and 40961403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56611 + ... + 57329.

It is an arithmetic number, because the mean of its divisors is an integer number (1717200).

Almost surely, 2^40961430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40961430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54950400).

40961430 is an abundant number, since it is smaller than the sum of its proper divisors (68939370).

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

40961430 is a wasteful number, since it uses less digits than its factorization.

40961430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40961430 is about 6400.1117177749. Note that the first 3 decimals coincide. The cubic root of 40961430 is about 344.7135618709.

The spelling of 40961430 in words is "forty million, nine hundred sixty-one thousand, four hundred thirty".