40974193111040 has 208 divisors, whose sum is σ = 112489227282432. Its totient is φ = 14033719590912.

The previous prime is 40974193110941. The next prime is 40974193111057. The reversal of 40974193111040 is 4011139147904.

It is a super-2 number, since 2×40974193111040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40974193110982 and 40974193111000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138481337 + ... + 138776903.

It is an arithmetic number, because the mean of its divisors is an integer number (540813592704).

Almost surely, 2^{40974193111040} is an apocalyptic number.

40974193111040 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 40974193111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56244613641216).

40974193111040 is an abundant number, since it is smaller than the sum of its proper divisors (71515034171392).

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

40974193111040 is an equidigital number, since it uses as much as digits as its factorization.

40974193111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296570 (or 296548 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 40974193111040 in words is "forty trillion, nine hundred seventy-four billion, one hundred ninety-three million, one hundred eleven thousand, forty".