402749661440 has 288 divisors, whose sum is σ = 1144784551680. Its totient is φ = 132828659712.

The previous prime is 402749661427. The next prime is 402749661443. The reversal of 402749661440 is 44166947204.

It is not an unprimeable number, because it can be changed into a prime (402749661443) 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 31 ways as a sum of consecutive naturals, for example, 73531982 + ... + 73537458.

It is an arithmetic number, because the mean of its divisors is an integer number (3974946360).

Almost surely, 2^402749661440 is an apocalyptic number.

402749661440 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 402749661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572392275840).

402749661440 is an abundant number, since it is smaller than the sum of its proper divisors (742034890240).

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

402749661440 is a wasteful number, since it uses less digits than its factorization.

402749661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 402749661440 in words is "four hundred two billion, seven hundred forty-nine million, six hundred sixty-one thousand, four hundred forty".