40629287372940 has 576 divisors, whose sum is σ = 148764278476800. Its totient is φ = 9178353451008.

The previous prime is 40629287372897. The next prime is 40629287372953. The reversal of 40629287372940 is 4927378292604.

40629287372940 is a `hidden beast` number, since 4 + 0 + 62 + 9 + 287 + 3 + 7 + 294 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 820155852 + ... + 820205388.

It is an arithmetic number, because the mean of its divisors is an integer number (258271316800).

Almost surely, 2^{40629287372940} 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 40629287372940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74382139238400).

40629287372940 is an abundant number, since it is smaller than the sum of its proper divisors (108134991103860).

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

40629287372940 is a wasteful number, since it uses less digits than its factorization.

40629287372940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49931 (or 49916 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 40629287372940 in words is "forty trillion, six hundred twenty-nine billion, two hundred eighty-seven million, three hundred seventy-two thousand, nine hundred forty".