40968588402 has 448 divisors, whose sum is σ = 116268618240. Its totient is φ = 10568143872.

The previous prime is 40968588361. The next prime is 40968588407. The reversal of 40968588402 is 20488586904.

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

It is not an unprimeable number, because it can be changed into a prime (40968588407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 460321174 + ... + 460321262.

Almost surely, 2^40968588402 is an apocalyptic number.

40968588402 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40968588402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58134309120).

40968588402 is an abundant number, since it is smaller than the sum of its proper divisors (75300029838).

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

40968588402 is a wasteful number, since it uses less digits than its factorization.

40968588402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 40968588402 in words is "forty billion, nine hundred sixty-eight million, five hundred eighty-eight thousand, four hundred two".