40460207040 has 336 divisors, whose sum is σ = 153223630560. Its totient is φ = 9717719040.

The previous prime is 40460206957. The next prime is 40460207057. The reversal of 40460207040 is 4070206404.

40460207040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40460206995 and 40460207013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3447262 + ... + 3458978.

It is an arithmetic number, because the mean of its divisors is an integer number (456022710).

Almost surely, 2^40460207040 is an apocalyptic number.

40460207040 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 40460207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76611815280).

40460207040 is an abundant number, since it is smaller than the sum of its proper divisors (112763423520).

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

40460207040 is a wasteful number, since it uses less digits than its factorization.

40460207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11860 (or 11847 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 40460207040 in words is "forty billion, four hundred sixty million, two hundred seven thousand, forty".