40974467466240 has 4752 divisors, whose sum is σ = 195769992697344. Its totient is φ = 8126654054400.

The previous prime is 40974467466239. The next prime is 40974467466241. The reversal of 40974467466240 is 4266476447904.

40974467466240 is a `hidden beast` number, since 4 + 0 + 9 + 74 + 4 + 67 + 466 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40974467466239) and next prime (40974467466241).

It is a tau number, because it is divible by the number of its divisors (4752).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40974467466241) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 561294074844 + ... + 561294074916.

Almost surely, 2^{40974467466240} is an apocalyptic number.

40974467466240 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 40974467466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97884996348672).

40974467466240 is an abundant number, since it is smaller than the sum of its proper divisors (154795525231104).

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

40974467466240 is an equidigital number, since it uses as much as digits as its factorization.

40974467466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 40974467466240 in words is "forty trillion, nine hundred seventy-four billion, four hundred sixty-seven million, four hundred sixty-six thousand, two hundred forty".