40874950562688 has 768 divisors, whose sum is σ = 130620360499200. Its totient is φ = 12166646169600.

The previous prime is 40874950562687. The next prime is 40874950562711. The reversal of 40874950562688 is 88626505947804.

40874950562688 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 4 + 9 + 50 + 562 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40874950562681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 99938754228 + ... + 99938754636.

It is an arithmetic number, because the mean of its divisors is an integer number (170078594400).

Almost surely, 2^{40874950562688} is an apocalyptic number.

40874950562688 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 40874950562688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65310180249600).

40874950562688 is an abundant number, since it is smaller than the sum of its proper divisors (89745409936512).

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

40874950562688 is a wasteful number, since it uses less digits than its factorization.

40874950562688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 40874950562688 in words is "forty trillion, eight hundred seventy-four billion, nine hundred fifty million, five hundred sixty-two thousand, six hundred eighty-eight".