40444591950 has 336 divisors, whose sum is σ = 129580518816. Its totient is φ = 9195897600.

The previous prime is 40444591919. The next prime is 40444591963. The reversal of 40444591950 is 5919544404.

40444591950 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 4 + 591 + 9 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 40444591896 and 40444591905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 74758680 + ... + 74759220.

It is an arithmetic number, because the mean of its divisors is an integer number (385656306).

Almost surely, 2^40444591950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40444591950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64790259408).

40444591950 is an abundant number, since it is smaller than the sum of its proper divisors (89135926866).

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

40444591950 is a wasteful number, since it uses less digits than its factorization.

40444591950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 40444591950 in words is "forty billion, four hundred forty-four million, five hundred ninety-one thousand, nine hundred fifty".