40648961430 has 480 divisors, whose sum is σ = 138487345920. Its totient is φ = 8373974400.

The previous prime is 40648961377. The next prime is 40648961447. The reversal of 40648961430 is 3416984604.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 122806365 + ... + 122806695.

It is an arithmetic number, because the mean of its divisors is an integer number (288515304).

Almost surely, 2^40648961430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40648961430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69243672960).

40648961430 is an abundant number, since it is smaller than the sum of its proper divisors (97838384490).

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

40648961430 is a wasteful number, since it uses less digits than its factorization.

40648961430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 40648961430 in words is "forty billion, six hundred forty-eight million, nine hundred sixty-one thousand, four hundred thirty".