941855040 has 560 divisors, whose sum is σ = 3983126400. Its totient is φ = 206696448.

The previous prime is 941854967. The next prime is 941855041. The reversal of 941855040 is 40558149.

941855040 is a `hidden beast` number, since 94 + 18 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 941854986 and 941855004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (941855041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5261671 + ... + 5261849.

Almost surely, 2^941855040 is an apocalyptic number.

941855040 is a gapful number since it is divisible by the number (90) 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 941855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991563200).

941855040 is an abundant number, since it is smaller than the sum of its proper divisors (3041271360).

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

941855040 is a wasteful number, since it uses less digits than its factorization.

941855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 941855040 is about 30689.6568895776. The cubic root of 941855040 is about 980.2300723185.

It can be divided in two parts, 94185 and 5040, that added together give a square (99225 = 315²).

The spelling of 941855040 in words is "nine hundred forty-one million, eight hundred fifty-five thousand, forty".