40985260098048 has 600 divisors, whose sum is σ = 142455899252304. Its totient is φ = 11697451315200.

The previous prime is 40985260098047. The next prime is 40985260098121. The reversal of 40985260098048 is 84089006258904.

40985260098048 is a `hidden beast` number, since 409 + 8 + 52 + 60 + 0 + 9 + 80 + 48 = 666.

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 (40985260098047) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1973185903 + ... + 1973206673.

Almost surely, 2^{40985260098048} is an apocalyptic number.

40985260098048 is a gapful number since it is divisible by the number (48) 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 40985260098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71227949626152).

40985260098048 is an abundant number, since it is smaller than the sum of its proper divisors (101470639154256).

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

40985260098048 is an equidigital number, since it uses as much as digits as its factorization.

40985260098048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21786 (or 21754 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 40985260098048 in words is "forty trillion, nine hundred eighty-five billion, two hundred sixty million, ninety-eight thousand, forty-eight".