40997975040 has 1320 divisors, whose sum is σ = 173935718880. Its totient is φ = 9196830720.

The previous prime is 40997974993. The next prime is 40997975041. The reversal of 40997975040 is 4057979904.

40997975040 is a `hidden beast` number, since 40 + 9 + 9 + 7 + 97 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40997975041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 953441259 + ... + 953441301.

It is an arithmetic number, because the mean of its divisors is an integer number (131769484).

Almost surely, 2^40997975040 is an apocalyptic number.

40997975040 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 40997975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86967859440).

40997975040 is an abundant number, since it is smaller than the sum of its proper divisors (132937743840).

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

40997975040 is a wasteful number, since it uses less digits than its factorization.

40997975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 40997975040 in words is "forty billion, nine hundred ninety-seven million, nine hundred seventy-five thousand, forty".