40137468704360 has 64 divisors (see below), whose sum is σ = 91677677601600. Its totient is φ = 15811828217856.

The previous prime is 40137468704327. The next prime is 40137468704371. The reversal of 40137468704360 is 6340786473104.

It is a happy number.

It is a super-2 number, since 2×40137468704360² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10344056 + ... + 13684824.

It is an arithmetic number, because the mean of its divisors is an integer number (1432463712525).

Almost surely, 2^{40137468704360} is an apocalyptic number.

40137468704360 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 40137468704360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45838838800800).

40137468704360 is an abundant number, since it is smaller than the sum of its proper divisors (51540208897240).

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

40137468704360 is a wasteful number, since it uses less digits than its factorization.

40137468704360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345330 (or 3345326 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 53.

The spelling of 40137468704360 in words is "forty trillion, one hundred thirty-seven billion, four hundred sixty-eight million, seven hundred four thousand, three hundred sixty".