40240446240 has 96 divisors (see below), whose sum is σ = 127074116736. Its totient is φ = 10703974400.

The previous prime is 40240446227. The next prime is 40240446247. The reversal of 40240446240 is 4264404204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40240446198 and 40240446207.

It is not an unprimeable number, because it can be changed into a prime (40240446247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87949 + ... + 297011.

It is an arithmetic number, because the mean of its divisors is an integer number (1323688716).

Almost surely, 2^40240446240 is an apocalyptic number.

40240446240 is a gapful number since it is divisible by the number (40) 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 40240446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63537058368).

40240446240 is an abundant number, since it is smaller than the sum of its proper divisors (86833670496).

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

40240446240 is a wasteful number, since it uses less digits than its factorization.

40240446240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209482 (or 209474 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The spelling of 40240446240 in words is "forty billion, two hundred forty million, four hundred forty-six thousand, two hundred forty".