40047359040 has 560 divisors, whose sum is σ = 154594724592. Its totient is φ = 9782083584.

The previous prime is 40047358999. The next prime is 40047359111. The reversal of 40047359040 is 4095374004.

It can be written as a sum of positive squares in 8 ways, for example, as 3807383616 + 36239975424 = 61704^2 + 190368^2 .

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 = 40047358986 and 40047359004.

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 79 ways as a sum of consecutive naturals, for example, 52902342 + ... + 52903098.

Almost surely, 2^40047359040 is an apocalyptic number.

40047359040 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 40047359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77297362296).

40047359040 is an abundant number, since it is smaller than the sum of its proper divisors (114547365552).

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

40047359040 is a wasteful number, since it uses less digits than its factorization.

40047359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 40047359040 in words is "forty billion, forty-seven million, three hundred fifty-nine thousand, forty".