40802969376 has 576 divisors, whose sum is σ = 140331139200. Its totient is φ = 11450750976.

The previous prime is 40802969371. The next prime is 40802969387. The reversal of 40802969376 is 67396920804.

It is a happy number.

It is a super-3 number, since 3×40802969376³ (a number of 33 digits) contains 333 as substring.

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 (40802969371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117587635 + ... + 117587981.

It is an arithmetic number, because the mean of its divisors is an integer number (243630450).

Almost surely, 2^40802969376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40802969376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70165569600).

40802969376 is an abundant number, since it is smaller than the sum of its proper divisors (99528169824).

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

40802969376 is a wasteful number, since it uses less digits than its factorization.

40802969376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 40802969376 in words is "forty billion, eight hundred two million, nine hundred sixty-nine thousand, three hundred seventy-six".