40634433840 has 960 divisors, whose sum is σ = 175035796992. Its totient is φ = 7664025600.

The previous prime is 40634433761. The next prime is 40634433863. The reversal of 40634433840 is 4833443604.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122762475 + ... + 122762805.

Almost surely, 2^40634433840 is an apocalyptic number.

40634433840 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 40634433840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87517898496).

40634433840 is an abundant number, since it is smaller than the sum of its proper divisors (134401363152).

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

40634433840 is a wasteful number, since it uses less digits than its factorization.

40634433840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

It can be divided in two parts, 40634 and 433840, that added together give a palindrome (474474).

The spelling of 40634433840 in words is "forty billion, six hundred thirty-four million, four hundred thirty-three thousand, eight hundred forty".