40501781004672 has 1536 divisors, whose sum is σ = 137664208281600. Its totient is φ = 11768599019520.

The previous prime is 40501781004661. The next prime is 40501781004743. The reversal of 40501781004672 is 27640018710504.

40501781004672 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 178 + 10 + 0 + 467 + 2 = 666.

It is a congruent number.

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, 168057182472 + ... + 168057182712.

It is an arithmetic number, because the mean of its divisors is an integer number (89625135600).

Almost surely, 2^{40501781004672} 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 40501781004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68832104140800).

40501781004672 is an abundant number, since it is smaller than the sum of its proper divisors (97162427276928).

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

40501781004672 is a wasteful number, since it uses less digits than its factorization.

40501781004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 40501781004672 in words is "forty trillion, five hundred one billion, seven hundred eighty-one million, four thousand, six hundred seventy-two".