40446631040 has 64 divisors (see below), whose sum is σ = 96720057720. Its totient is φ = 16174080000.

The previous prime is 40446631037. The next prime is 40446631063. The reversal of 40446631040 is 4013664404.

It can be written as a sum of positive squares in 4 ways, for example, as 29334097984 + 11112533056 = 171272^2 + 105416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 40446630988 and 40446631006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3104540 + ... + 3117540.

Almost surely, 2^40446631040 is an apocalyptic number.

40446631040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40446631040 is an abundant number, since it is smaller than the sum of its proper divisors (56273426680).

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

40446631040 is a wasteful number, since it uses less digits than its factorization.

40446631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17881 (or 17869 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 40446631040 in words is "forty billion, four hundred forty-six million, six hundred thirty-one thousand, forty".