40703094432 has 768 divisors, whose sum is σ = 167853772800. Its totient is φ = 9241620480.

The previous prime is 40703094427. The next prime is 40703094433. The reversal of 40703094432 is 23449030704.

40703094432 is a `hidden beast` number, since 40 + 70 + 30 + 94 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40703094433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16431178 + ... + 16433654.

It is an arithmetic number, because the mean of its divisors is an integer number (218559600).

Almost surely, 2^40703094432 is an apocalyptic number.

40703094432 is a gapful number since it is divisible by the number (42) 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 40703094432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83926886400).

40703094432 is an abundant number, since it is smaller than the sum of its proper divisors (127150678368).

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

40703094432 is a wasteful number, since it uses less digits than its factorization.

40703094432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 40703094432 in words is "forty billion, seven hundred three million, ninety-four thousand, four hundred thirty-two".